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Finding the Third Proportional to 363,538 and 555,149

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Solution

The third proportional to 363,538 and 555,149 is: 847,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,538 : 555,149 = 555,149 : x
  2. Step 2: Convert to fraction form
    363,538/555,149 = 555,149/x
  3. Step 3: Cross multiply
    363,538x = 555,149 × 555,149
  4. Step 4: Simplify right side
    363,538x = 308,190,412,201
  5. Step 5: Solve for x
    x = 308,190,412,201/363,538
  6. Step 6: Final answer
    x = 847,752.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.