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Finding the Third Proportional to 129,124.20 and 278,996.41

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Solution

The third proportional to 129,124.20 and 278,996.41 is: 602,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,124.20 : 278,996.41 = 278,996.41 : x
  2. Step 2: Convert to fraction form
    129,124.20/278,996.41 = 278,996.41/x
  3. Step 3: Cross multiply
    129,124.20x = 278,996.41 × 278,996.41
  4. Step 4: Simplify right side
    129,124.20x = 77,838,999,059.73
  5. Step 5: Solve for x
    x = 77,838,999,059.73/129,124.20
  6. Step 6: Final answer
    x = 602,822.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.