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Finding the Third Proportional to 418,110 and 636,993

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Solution

The third proportional to 418,110 and 636,993 is: 970,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,110 : 636,993 = 636,993 : x
  2. Step 2: Convert to fraction form
    418,110/636,993 = 636,993/x
  3. Step 3: Cross multiply
    418,110x = 636,993 × 636,993
  4. Step 4: Simplify right side
    418,110x = 405,760,082,049
  5. Step 5: Solve for x
    x = 405,760,082,049/418,110
  6. Step 6: Final answer
    x = 970,462.51

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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.