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Finding the Third Proportional to 636,329 and 890,098

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Solution

The third proportional to 636,329 and 890,098 is: 1,245,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,329 : 890,098 = 890,098 : x
  2. Step 2: Convert to fraction form
    636,329/890,098 = 890,098/x
  3. Step 3: Cross multiply
    636,329x = 890,098 × 890,098
  4. Step 4: Simplify right side
    636,329x = 792,274,449,604
  5. Step 5: Solve for x
    x = 792,274,449,604/636,329
  6. Step 6: Final answer
    x = 1,245,070.47

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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.