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Finding the Third Proportional to 129,157 and 278,105

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Solution

The third proportional to 129,157 and 278,105 is: 598,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,157 : 278,105 = 278,105 : x
  2. Step 2: Convert to fraction form
    129,157/278,105 = 278,105/x
  3. Step 3: Cross multiply
    129,157x = 278,105 × 278,105
  4. Step 4: Simplify right side
    129,157x = 77,342,391,025
  5. Step 5: Solve for x
    x = 77,342,391,025/129,157
  6. Step 6: Final answer
    x = 598,824.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.