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Finding the Third Proportional to 418,119 and 890,175

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Solution

The third proportional to 418,119 and 890,175 is: 1,895,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,119 : 890,175 = 890,175 : x
  2. Step 2: Convert to fraction form
    418,119/890,175 = 890,175/x
  3. Step 3: Cross multiply
    418,119x = 890,175 × 890,175
  4. Step 4: Simplify right side
    418,119x = 792,411,530,625
  5. Step 5: Solve for x
    x = 792,411,530,625/418,119
  6. Step 6: Final answer
    x = 1,895,181.83

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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.