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Finding the Third Proportional to 253,442 and 354,329

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Solution

The third proportional to 253,442 and 354,329 is: 495,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,442 : 354,329 = 354,329 : x
  2. Step 2: Convert to fraction form
    253,442/354,329 = 354,329/x
  3. Step 3: Cross multiply
    253,442x = 354,329 × 354,329
  4. Step 4: Simplify right side
    253,442x = 125,549,040,241
  5. Step 5: Solve for x
    x = 125,549,040,241/253,442
  6. Step 6: Final answer
    x = 495,375.83

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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.