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Finding the Third Proportional to 289,987 and 636,711

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Solution

The third proportional to 289,987 and 636,711 is: 1,397,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,987 : 636,711 = 636,711 : x
  2. Step 2: Convert to fraction form
    289,987/636,711 = 636,711/x
  3. Step 3: Cross multiply
    289,987x = 636,711 × 636,711
  4. Step 4: Simplify right side
    289,987x = 405,400,897,521
  5. Step 5: Solve for x
    x = 405,400,897,521/289,987
  6. Step 6: Final answer
    x = 1,397,996.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.