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Finding the Third Proportional to 438,500.62 and 655,963.31

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Solution

The third proportional to 438,500.62 and 655,963.31 is: 981,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,500.62 : 655,963.31 = 655,963.31 : x
  2. Step 2: Convert to fraction form
    438,500.62/655,963.31 = 655,963.31/x
  3. Step 3: Cross multiply
    438,500.62x = 655,963.31 × 655,963.31
  4. Step 4: Simplify right side
    438,500.62x = 430,287,867,345.97
  5. Step 5: Solve for x
    x = 430,287,867,345.97/438,500.62
  6. Step 6: Final answer
    x = 981,270.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.