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Finding the Third Proportional to 399,448 and 561,850

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Solution

The third proportional to 399,448 and 561,850 is: 790,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,448 : 561,850 = 561,850 : x
  2. Step 2: Convert to fraction form
    399,448/561,850 = 561,850/x
  3. Step 3: Cross multiply
    399,448x = 561,850 × 561,850
  4. Step 4: Simplify right side
    399,448x = 315,675,422,500
  5. Step 5: Solve for x
    x = 315,675,422,500/399,448
  6. Step 6: Final answer
    x = 790,279.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.