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Finding the Third Proportional to 287,649 and 625,800

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Solution

The third proportional to 287,649 and 625,800 is: 1,361,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,649 : 625,800 = 625,800 : x
  2. Step 2: Convert to fraction form
    287,649/625,800 = 625,800/x
  3. Step 3: Cross multiply
    287,649x = 625,800 × 625,800
  4. Step 4: Simplify right side
    287,649x = 391,625,640,000
  5. Step 5: Solve for x
    x = 391,625,640,000/287,649
  6. Step 6: Final answer
    x = 1,361,470.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.