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Finding the Third Proportional to 452,443 and 699,920

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Solution

The third proportional to 452,443 and 699,920 is: 1,082,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,443 : 699,920 = 699,920 : x
  2. Step 2: Convert to fraction form
    452,443/699,920 = 699,920/x
  3. Step 3: Cross multiply
    452,443x = 699,920 × 699,920
  4. Step 4: Simplify right side
    452,443x = 489,888,006,400
  5. Step 5: Solve for x
    x = 489,888,006,400/452,443
  6. Step 6: Final answer
    x = 1,082,761.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.