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Finding the Third Proportional to 491,674 and 672,882

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Solution

The third proportional to 491,674 and 672,882 is: 920,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,674 : 672,882 = 672,882 : x
  2. Step 2: Convert to fraction form
    491,674/672,882 = 672,882/x
  3. Step 3: Cross multiply
    491,674x = 672,882 × 672,882
  4. Step 4: Simplify right side
    491,674x = 452,770,185,924
  5. Step 5: Solve for x
    x = 452,770,185,924/491,674
  6. Step 6: Final answer
    x = 920,874.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.