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Finding the Third Proportional to 15,727 and 34,371

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Solution

The third proportional to 15,727 and 34,371 is: 75,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727 : 34,371 = 34,371 : x
  2. Step 2: Convert to fraction form
    15,727/34,371 = 34,371/x
  3. Step 3: Cross multiply
    15,727x = 34,371 × 34,371
  4. Step 4: Simplify right side
    15,727x = 1,181,365,641
  5. Step 5: Solve for x
    x = 1,181,365,641/15,727
  6. Step 6: Final answer
    x = 75,117.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.