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Finding the Third Proportional to 129,073.50 and 189,811

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Solution

The third proportional to 129,073.50 and 189,811 is: 279,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,073.50 : 189,811 = 189,811 : x
  2. Step 2: Convert to fraction form
    129,073.50/189,811 = 189,811/x
  3. Step 3: Cross multiply
    129,073.50x = 189,811 × 189,811
  4. Step 4: Simplify right side
    129,073.50x = 36,028,215,721
  5. Step 5: Solve for x
    x = 36,028,215,721/129,073.50
  6. Step 6: Final answer
    x = 279,129.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.