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Finding the Third Proportional to 89,576.75 and 129,489.75

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Solution

The third proportional to 89,576.75 and 129,489.75 is: 187,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,576.75 : 129,489.75 = 129,489.75 : x
  2. Step 2: Convert to fraction form
    89,576.75/129,489.75 = 129,489.75/x
  3. Step 3: Cross multiply
    89,576.75x = 129,489.75 × 129,489.75
  4. Step 4: Simplify right side
    89,576.75x = 16,767,595,355.06
  5. Step 5: Solve for x
    x = 16,767,595,355.06/89,576.75
  6. Step 6: Final answer
    x = 187,186.91

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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.