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Finding the Third Proportional to 279,540 and 372,437

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Solution

The third proportional to 279,540 and 372,437 is: 496,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,540 : 372,437 = 372,437 : x
  2. Step 2: Convert to fraction form
    279,540/372,437 = 372,437/x
  3. Step 3: Cross multiply
    279,540x = 372,437 × 372,437
  4. Step 4: Simplify right side
    279,540x = 138,709,318,969
  5. Step 5: Solve for x
    x = 138,709,318,969/279,540
  6. Step 6: Final answer
    x = 496,205.62

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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.