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Finding the Third Proportional to 227,862 and 490,785

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Solution

The third proportional to 227,862 and 490,785 is: 1,057,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,862 : 490,785 = 490,785 : x
  2. Step 2: Convert to fraction form
    227,862/490,785 = 490,785/x
  3. Step 3: Cross multiply
    227,862x = 490,785 × 490,785
  4. Step 4: Simplify right side
    227,862x = 240,869,916,225
  5. Step 5: Solve for x
    x = 240,869,916,225/227,862
  6. Step 6: Final answer
    x = 1,057,086.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.