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Finding the Third Proportional to 129,154.69 and 278,100.38

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Solution

The third proportional to 129,154.69 and 278,100.38 is: 598,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,154.69 : 278,100.38 = 278,100.38 : x
  2. Step 2: Convert to fraction form
    129,154.69/278,100.38 = 278,100.38/x
  3. Step 3: Cross multiply
    129,154.69x = 278,100.38 × 278,100.38
  4. Step 4: Simplify right side
    129,154.69x = 77,339,818,575.14
  5. Step 5: Solve for x
    x = 77,339,818,575.14/129,154.69
  6. Step 6: Final answer
    x = 598,815.42

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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.