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Finding the Third Proportional to 89,579 and 129,493

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Solution

The third proportional to 89,579 and 129,493 is: 187,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,579 : 129,493 = 129,493 : x
  2. Step 2: Convert to fraction form
    89,579/129,493 = 129,493/x
  3. Step 3: Cross multiply
    89,579x = 129,493 × 129,493
  4. Step 4: Simplify right side
    89,579x = 16,768,437,049
  5. Step 5: Solve for x
    x = 16,768,437,049/89,579
  6. Step 6: Final answer
    x = 187,191.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.