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Finding the Third Proportional to 129,124.13 and 278,996.27

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Solution

The third proportional to 129,124.13 and 278,996.27 is: 602,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,124.13 : 278,996.27 = 278,996.27 : x
  2. Step 2: Convert to fraction form
    129,124.13/278,996.27 = 278,996.27/x
  3. Step 3: Cross multiply
    129,124.13x = 278,996.27 × 278,996.27
  4. Step 4: Simplify right side
    129,124.13x = 77,838,920,592.01
  5. Step 5: Solve for x
    x = 77,838,920,592.01/129,124.13
  6. Step 6: Final answer
    x = 602,822.44

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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.