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Finding the Third Proportional to 57,768 and 77,269

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Solution

The third proportional to 57,768 and 77,269 is: 103,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,768 : 77,269 = 77,269 : x
  2. Step 2: Convert to fraction form
    57,768/77,269 = 77,269/x
  3. Step 3: Cross multiply
    57,768x = 77,269 × 77,269
  4. Step 4: Simplify right side
    57,768x = 5,970,498,361
  5. Step 5: Solve for x
    x = 5,970,498,361/57,768
  6. Step 6: Final answer
    x = 103,353.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.