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Finding the Third Proportional to 8,440.25 and 18,824.50

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Solution

The third proportional to 8,440.25 and 18,824.50 is: 41,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.25 : 18,824.50 = 18,824.50 : x
  2. Step 2: Convert to fraction form
    8,440.25/18,824.50 = 18,824.50/x
  3. Step 3: Cross multiply
    8,440.25x = 18,824.50 × 18,824.50
  4. Step 4: Simplify right side
    8,440.25x = 354,361,800.25
  5. Step 5: Solve for x
    x = 354,361,800.25/8,440.25
  6. Step 6: Final answer
    x = 41,984.75

Related Problems

Find third proportional to 4,220.13 and 9,412.25
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.