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Finding the Third Proportional to 639,901 and 1,377,348

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Solution

The third proportional to 639,901 and 1,377,348 is: 2,964,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,901 : 1,377,348 = 1,377,348 : x
  2. Step 2: Convert to fraction form
    639,901/1,377,348 = 1,377,348/x
  3. Step 3: Cross multiply
    639,901x = 1,377,348 × 1,377,348
  4. Step 4: Simplify right side
    639,901x = 1,897,087,513,104
  5. Step 5: Solve for x
    x = 1,897,087,513,104/639,901
  6. Step 6: Final answer
    x = 2,964,657.83

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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.