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Finding the Third Proportional to 63,407 and 137,382

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Solution

The third proportional to 63,407 and 137,382 is: 297,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,407 : 137,382 = 137,382 : x
  2. Step 2: Convert to fraction form
    63,407/137,382 = 137,382/x
  3. Step 3: Cross multiply
    63,407x = 137,382 × 137,382
  4. Step 4: Simplify right side
    63,407x = 18,873,813,924
  5. Step 5: Solve for x
    x = 18,873,813,924/63,407
  6. Step 6: Final answer
    x = 297,661.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.