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Finding the Third Proportional to 399,446 and 561,847

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Solution

The third proportional to 399,446 and 561,847 is: 790,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,446 : 561,847 = 561,847 : x
  2. Step 2: Convert to fraction form
    399,446/561,847 = 561,847/x
  3. Step 3: Cross multiply
    399,446x = 561,847 × 561,847
  4. Step 4: Simplify right side
    399,446x = 315,672,051,409
  5. Step 5: Solve for x
    x = 315,672,051,409/399,446
  6. Step 6: Final answer
    x = 790,274.66

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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.