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Finding the Third Proportional to 71,338 and 77,565

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Solution

The third proportional to 71,338 and 77,565 is: 84,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338 : 77,565 = 77,565 : x
  2. Step 2: Convert to fraction form
    71,338/77,565 = 77,565/x
  3. Step 3: Cross multiply
    71,338x = 77,565 × 77,565
  4. Step 4: Simplify right side
    71,338x = 6,016,329,225
  5. Step 5: Solve for x
    x = 6,016,329,225/71,338
  6. Step 6: Final answer
    x = 84,335.55

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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.