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Finding the Third Proportional to 418,108 and 636,990

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Solution

The third proportional to 418,108 and 636,990 is: 970,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,108 : 636,990 = 636,990 : x
  2. Step 2: Convert to fraction form
    418,108/636,990 = 636,990/x
  3. Step 3: Cross multiply
    418,108x = 636,990 × 636,990
  4. Step 4: Simplify right side
    418,108x = 405,756,260,100
  5. Step 5: Solve for x
    x = 405,756,260,100/418,108
  6. Step 6: Final answer
    x = 970,458.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.