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Finding the Third Proportional to 57,605 and 84,355

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Solution

The third proportional to 57,605 and 84,355 is: 123,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605 : 84,355 = 84,355 : x
  2. Step 2: Convert to fraction form
    57,605/84,355 = 84,355/x
  3. Step 3: Cross multiply
    57,605x = 84,355 × 84,355
  4. Step 4: Simplify right side
    57,605x = 7,115,766,025
  5. Step 5: Solve for x
    x = 7,115,766,025/57,605
  6. Step 6: Final answer
    x = 123,526.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.