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Finding the Third Proportional to 279,534 and 372,429

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Solution

The third proportional to 279,534 and 372,429 is: 496,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,534 : 372,429 = 372,429 : x
  2. Step 2: Convert to fraction form
    279,534/372,429 = 372,429/x
  3. Step 3: Cross multiply
    279,534x = 372,429 × 372,429
  4. Step 4: Simplify right side
    279,534x = 138,703,360,041
  5. Step 5: Solve for x
    x = 138,703,360,041/279,534
  6. Step 6: Final answer
    x = 496,194.95

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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.