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Finding the Third Proportional to 71,387 and 155,486

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Solution

The third proportional to 71,387 and 155,486 is: 338,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,387 : 155,486 = 155,486 : x
  2. Step 2: Convert to fraction form
    71,387/155,486 = 155,486/x
  3. Step 3: Cross multiply
    71,387x = 155,486 × 155,486
  4. Step 4: Simplify right side
    71,387x = 24,175,896,196
  5. Step 5: Solve for x
    x = 24,175,896,196/71,387
  6. Step 6: Final answer
    x = 338,659.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.