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Finding the Third Proportional to 639,828 and 961,380

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Solution

The third proportional to 639,828 and 961,380 is: 1,444,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,828 : 961,380 = 961,380 : x
  2. Step 2: Convert to fraction form
    639,828/961,380 = 961,380/x
  3. Step 3: Cross multiply
    639,828x = 961,380 × 961,380
  4. Step 4: Simplify right side
    639,828x = 924,251,504,400
  5. Step 5: Solve for x
    x = 924,251,504,400/639,828
  6. Step 6: Final answer
    x = 1,444,531.19

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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.