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Finding the Third Proportional to 253,488 and 354,398

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Solution

The third proportional to 253,488 and 354,398 is: 495,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,488 : 354,398 = 354,398 : x
  2. Step 2: Convert to fraction form
    253,488/354,398 = 354,398/x
  3. Step 3: Cross multiply
    253,488x = 354,398 × 354,398
  4. Step 4: Simplify right side
    253,488x = 125,597,942,404
  5. Step 5: Solve for x
    x = 125,597,942,404/253,488
  6. Step 6: Final answer
    x = 495,478.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.