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Finding the Third Proportional to 322,022 and 423,561

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Solution

The third proportional to 322,022 and 423,561 is: 557,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,022 : 423,561 = 423,561 : x
  2. Step 2: Convert to fraction form
    322,022/423,561 = 423,561/x
  3. Step 3: Cross multiply
    322,022x = 423,561 × 423,561
  4. Step 4: Simplify right side
    322,022x = 179,403,920,721
  5. Step 5: Solve for x
    x = 179,403,920,721/322,022
  6. Step 6: Final answer
    x = 557,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.