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Finding the Third Proportional to 57,569 and 86,408

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Solution

The third proportional to 57,569 and 86,408 is: 129,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,569 : 86,408 = 86,408 : x
  2. Step 2: Convert to fraction form
    57,569/86,408 = 86,408/x
  3. Step 3: Cross multiply
    57,569x = 86,408 × 86,408
  4. Step 4: Simplify right side
    57,569x = 7,466,342,464
  5. Step 5: Solve for x
    x = 7,466,342,464/57,569
  6. Step 6: Final answer
    x = 129,693.80

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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.