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Finding the Third Proportional to 363,775.13 and 489,375

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Solution

The third proportional to 363,775.13 and 489,375 is: 658,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,775.13 : 489,375 = 489,375 : x
  2. Step 2: Convert to fraction form
    363,775.13/489,375 = 489,375/x
  3. Step 3: Cross multiply
    363,775.13x = 489,375 × 489,375
  4. Step 4: Simplify right side
    363,775.13x = 239,487,890,625
  5. Step 5: Solve for x
    x = 239,487,890,625/363,775.13
  6. Step 6: Final answer
    x = 658,340.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.