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Finding the Third Proportional to 218,076 and 462,561

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Solution

The third proportional to 218,076 and 462,561 is: 981,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076 : 462,561 = 462,561 : x
  2. Step 2: Convert to fraction form
    218,076/462,561 = 462,561/x
  3. Step 3: Cross multiply
    218,076x = 462,561 × 462,561
  4. Step 4: Simplify right side
    218,076x = 213,962,678,721
  5. Step 5: Solve for x
    x = 213,962,678,721/218,076
  6. Step 6: Final answer
    x = 981,138.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.