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Finding the Third Proportional to 129,050 and 189,767

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Solution

The third proportional to 129,050 and 189,767 is: 279,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,050 : 189,767 = 189,767 : x
  2. Step 2: Convert to fraction form
    129,050/189,767 = 189,767/x
  3. Step 3: Cross multiply
    129,050x = 189,767 × 189,767
  4. Step 4: Simplify right side
    129,050x = 36,011,514,289
  5. Step 5: Solve for x
    x = 36,011,514,289/129,050
  6. Step 6: Final answer
    x = 279,050.87

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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.