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Finding the Third Proportional to 9,346.50 and 15,478.50

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Solution

The third proportional to 9,346.50 and 15,478.50 is: 25,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.50 : 15,478.50 = 15,478.50 : x
  2. Step 2: Convert to fraction form
    9,346.50/15,478.50 = 15,478.50/x
  3. Step 3: Cross multiply
    9,346.50x = 15,478.50 × 15,478.50
  4. Step 4: Simplify right side
    9,346.50x = 239,583,962.25
  5. Step 5: Solve for x
    x = 239,583,962.25/9,346.50
  6. Step 6: Final answer
    x = 25,633.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.