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Finding the Third Proportional to 89,591 and 129,507

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Solution

The third proportional to 89,591 and 129,507 is: 187,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,591 : 129,507 = 129,507 : x
  2. Step 2: Convert to fraction form
    89,591/129,507 = 129,507/x
  3. Step 3: Cross multiply
    89,591x = 129,507 × 129,507
  4. Step 4: Simplify right side
    89,591x = 16,772,063,049
  5. Step 5: Solve for x
    x = 16,772,063,049/89,591
  6. Step 6: Final answer
    x = 187,207.01

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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.