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Finding the Third Proportional to 89,613 and 129,539.25

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Solution

The third proportional to 89,613 and 129,539.25 is: 187,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,613 : 129,539.25 = 129,539.25 : x
  2. Step 2: Convert to fraction form
    89,613/129,539.25 = 129,539.25/x
  3. Step 3: Cross multiply
    89,613x = 129,539.25 × 129,539.25
  4. Step 4: Simplify right side
    89,613x = 16,780,417,290.56
  5. Step 5: Solve for x
    x = 16,780,417,290.56/89,613
  6. Step 6: Final answer
    x = 187,254.27

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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.