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Finding the Third Proportional to 225,644 and 490,190

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Solution

The third proportional to 225,644 and 490,190 is: 1,064,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,644 : 490,190 = 490,190 : x
  2. Step 2: Convert to fraction form
    225,644/490,190 = 490,190/x
  3. Step 3: Cross multiply
    225,644x = 490,190 × 490,190
  4. Step 4: Simplify right side
    225,644x = 240,286,236,100
  5. Step 5: Solve for x
    x = 240,286,236,100/225,644
  6. Step 6: Final answer
    x = 1,064,890.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.