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Finding the Third Proportional to 363,775.88 and 489,376.13

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Solution

The third proportional to 363,775.88 and 489,376.13 is: 658,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,775.88 : 489,376.13 = 489,376.13 : x
  2. Step 2: Convert to fraction form
    363,775.88/489,376.13 = 489,376.13/x
  3. Step 3: Cross multiply
    363,775.88x = 489,376.13 × 489,376.13
  4. Step 4: Simplify right side
    363,775.88x = 239,488,991,720.02
  5. Step 5: Solve for x
    x = 239,488,991,720.02/363,775.88
  6. Step 6: Final answer
    x = 658,342.15

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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.