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Finding the Third Proportional to 408,847 and 572,919

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Solution

The third proportional to 408,847 and 572,919 is: 802,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847 : 572,919 = 572,919 : x
  2. Step 2: Convert to fraction form
    408,847/572,919 = 572,919/x
  3. Step 3: Cross multiply
    408,847x = 572,919 × 572,919
  4. Step 4: Simplify right side
    408,847x = 328,236,180,561
  5. Step 5: Solve for x
    x = 328,236,180,561/408,847
  6. Step 6: Final answer
    x = 802,833.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.