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Finding the Third Proportional to 279,544 and 372,442

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Solution

The third proportional to 279,544 and 372,442 is: 496,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,544 : 372,442 = 372,442 : x
  2. Step 2: Convert to fraction form
    279,544/372,442 = 372,442/x
  3. Step 3: Cross multiply
    279,544x = 372,442 × 372,442
  4. Step 4: Simplify right side
    279,544x = 138,713,043,364
  5. Step 5: Solve for x
    x = 138,713,043,364/279,544
  6. Step 6: Final answer
    x = 496,211.84

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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.