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Finding the Third Proportional to 418,126 and 890,189

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Solution

The third proportional to 418,126 and 890,189 is: 1,895,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,126 : 890,189 = 890,189 : x
  2. Step 2: Convert to fraction form
    418,126/890,189 = 890,189/x
  3. Step 3: Cross multiply
    418,126x = 890,189 × 890,189
  4. Step 4: Simplify right side
    418,126x = 792,436,455,721
  5. Step 5: Solve for x
    x = 792,436,455,721/418,126
  6. Step 6: Final answer
    x = 1,895,209.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.