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Finding the Third Proportional to 639,029.25 and 1,377,658.13

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Solution

The third proportional to 639,029.25 and 1,377,658.13 is: 2,970,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,029.25 : 1,377,658.13 = 1,377,658.13 : x
  2. Step 2: Convert to fraction form
    639,029.25/1,377,658.13 = 1,377,658.13/x
  3. Step 3: Cross multiply
    639,029.25x = 1,377,658.13 × 1,377,658.13
  4. Step 4: Simplify right side
    639,029.25x = 1,897,941,909,378.52
  5. Step 5: Solve for x
    x = 1,897,941,909,378.52/639,029.25
  6. Step 6: Final answer
    x = 2,970,039.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.