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Finding the Third Proportional to 133,720.88 and 278,452.69

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Solution

The third proportional to 133,720.88 and 278,452.69 is: 579,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,720.88 : 278,452.69 = 278,452.69 : x
  2. Step 2: Convert to fraction form
    133,720.88/278,452.69 = 278,452.69/x
  3. Step 3: Cross multiply
    133,720.88x = 278,452.69 × 278,452.69
  4. Step 4: Simplify right side
    133,720.88x = 77,535,899,175.97
  5. Step 5: Solve for x
    x = 77,535,899,175.97/133,720.88
  6. Step 6: Final answer
    x = 579,833.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.