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Finding the Third Proportional to 279,544 and 372,441

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Solution

The third proportional to 279,544 and 372,441 is: 496,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,544 : 372,441 = 372,441 : x
  2. Step 2: Convert to fraction form
    279,544/372,441 = 372,441/x
  3. Step 3: Cross multiply
    279,544x = 372,441 × 372,441
  4. Step 4: Simplify right side
    279,544x = 138,712,298,481
  5. Step 5: Solve for x
    x = 138,712,298,481/279,544
  6. Step 6: Final answer
    x = 496,209.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.