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Finding the Third Proportional to 57,940 and 77,604

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Solution

The third proportional to 57,940 and 77,604 is: 103,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,940 : 77,604 = 77,604 : x
  2. Step 2: Convert to fraction form
    57,940/77,604 = 77,604/x
  3. Step 3: Cross multiply
    57,940x = 77,604 × 77,604
  4. Step 4: Simplify right side
    57,940x = 6,022,380,816
  5. Step 5: Solve for x
    x = 6,022,380,816/57,940
  6. Step 6: Final answer
    x = 103,941.68

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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.