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Finding the Third Proportional to 218,020 and 467,561

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Solution

The third proportional to 218,020 and 467,561 is: 1,002,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,020 : 467,561 = 467,561 : x
  2. Step 2: Convert to fraction form
    218,020/467,561 = 467,561/x
  3. Step 3: Cross multiply
    218,020x = 467,561 × 467,561
  4. Step 4: Simplify right side
    218,020x = 218,613,288,721
  5. Step 5: Solve for x
    x = 218,613,288,721/218,020
  6. Step 6: Final answer
    x = 1,002,721.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.