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Finding the Third Proportional to 71,342 and 77,569

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Solution

The third proportional to 71,342 and 77,569 is: 84,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342 : 77,569 = 77,569 : x
  2. Step 2: Convert to fraction form
    71,342/77,569 = 77,569/x
  3. Step 3: Cross multiply
    71,342x = 77,569 × 77,569
  4. Step 4: Simplify right side
    71,342x = 6,016,949,761
  5. Step 5: Solve for x
    x = 6,016,949,761/71,342
  6. Step 6: Final answer
    x = 84,339.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.