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Finding the Third Proportional to 129,756.38 and 278,911.13

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Solution

The third proportional to 129,756.38 and 278,911.13 is: 599,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,756.38 : 278,911.13 = 278,911.13 : x
  2. Step 2: Convert to fraction form
    129,756.38/278,911.13 = 278,911.13/x
  3. Step 3: Cross multiply
    129,756.38x = 278,911.13 × 278,911.13
  4. Step 4: Simplify right side
    129,756.38x = 77,791,415,648.77
  5. Step 5: Solve for x
    x = 77,791,415,648.77/129,756.38
  6. Step 6: Final answer
    x = 599,519.03

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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.