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Finding the Third Proportional to 57,676 and 77,605

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Solution

The third proportional to 57,676 and 77,605 is: 104,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676 : 77,605 = 77,605 : x
  2. Step 2: Convert to fraction form
    57,676/77,605 = 77,605/x
  3. Step 3: Cross multiply
    57,676x = 77,605 × 77,605
  4. Step 4: Simplify right side
    57,676x = 6,022,536,025
  5. Step 5: Solve for x
    x = 6,022,536,025/57,676
  6. Step 6: Final answer
    x = 104,420.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.