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Finding the Third Proportional to 638,998.88 and 960,138.56

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Solution

The third proportional to 638,998.88 and 960,138.56 is: 1,442,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,998.88 : 960,138.56 = 960,138.56 : x
  2. Step 2: Convert to fraction form
    638,998.88/960,138.56 = 960,138.56/x
  3. Step 3: Cross multiply
    638,998.88x = 960,138.56 × 960,138.56
  4. Step 4: Simplify right side
    638,998.88x = 921,866,059,199.57
  5. Step 5: Solve for x
    x = 921,866,059,199.57/638,998.88
  6. Step 6: Final answer
    x = 1,442,672.43

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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.