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Finding the Third Proportional to 62,600 and 129,344

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Solution

The third proportional to 62,600 and 129,344 is: 267,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,600 : 129,344 = 129,344 : x
  2. Step 2: Convert to fraction form
    62,600/129,344 = 129,344/x
  3. Step 3: Cross multiply
    62,600x = 129,344 × 129,344
  4. Step 4: Simplify right side
    62,600x = 16,729,870,336
  5. Step 5: Solve for x
    x = 16,729,870,336/62,600
  6. Step 6: Final answer
    x = 267,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.