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Finding the Third Proportional to 57,786 and 86,446

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Solution

The third proportional to 57,786 and 86,446 is: 129,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786 : 86,446 = 86,446 : x
  2. Step 2: Convert to fraction form
    57,786/86,446 = 86,446/x
  3. Step 3: Cross multiply
    57,786x = 86,446 × 86,446
  4. Step 4: Simplify right side
    57,786x = 7,472,910,916
  5. Step 5: Solve for x
    x = 7,472,910,916/57,786
  6. Step 6: Final answer
    x = 129,320.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.