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Finding the Third Proportional to 71,340 and 77,567

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Solution

The third proportional to 71,340 and 77,567 is: 84,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340 : 77,567 = 77,567 : x
  2. Step 2: Convert to fraction form
    71,340/77,567 = 77,567/x
  3. Step 3: Cross multiply
    71,340x = 77,567 × 77,567
  4. Step 4: Simplify right side
    71,340x = 6,016,639,489
  5. Step 5: Solve for x
    x = 6,016,639,489/71,340
  6. Step 6: Final answer
    x = 84,337.53

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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.