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Finding the Third Proportional to 488,471 and 699,900

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Solution

The third proportional to 488,471 and 699,900 is: 1,002,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,471 : 699,900 = 699,900 : x
  2. Step 2: Convert to fraction form
    488,471/699,900 = 699,900/x
  3. Step 3: Cross multiply
    488,471x = 699,900 × 699,900
  4. Step 4: Simplify right side
    488,471x = 489,860,010,000
  5. Step 5: Solve for x
    x = 489,860,010,000/488,471
  6. Step 6: Final answer
    x = 1,002,843.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.