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Finding the Third Proportional to 8,412.75 and 16,400.25

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Solution

The third proportional to 8,412.75 and 16,400.25 is: 31,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.75 : 16,400.25 = 16,400.25 : x
  2. Step 2: Convert to fraction form
    8,412.75/16,400.25 = 16,400.25/x
  3. Step 3: Cross multiply
    8,412.75x = 16,400.25 × 16,400.25
  4. Step 4: Simplify right side
    8,412.75x = 268,968,200.06
  5. Step 5: Solve for x
    x = 268,968,200.06/8,412.75
  6. Step 6: Final answer
    x = 31,971.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.