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Finding the Third Proportional to 279,948 and 354,474

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Solution

The third proportional to 279,948 and 354,474 is: 448,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,948 : 354,474 = 354,474 : x
  2. Step 2: Convert to fraction form
    279,948/354,474 = 354,474/x
  3. Step 3: Cross multiply
    279,948x = 354,474 × 354,474
  4. Step 4: Simplify right side
    279,948x = 125,651,816,676
  5. Step 5: Solve for x
    x = 125,651,816,676/279,948
  6. Step 6: Final answer
    x = 448,839.84

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.