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Finding the Third Proportional to 221,042 and 482,561

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Solution

The third proportional to 221,042 and 482,561 is: 1,053,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,042 : 482,561 = 482,561 : x
  2. Step 2: Convert to fraction form
    221,042/482,561 = 482,561/x
  3. Step 3: Cross multiply
    221,042x = 482,561 × 482,561
  4. Step 4: Simplify right side
    221,042x = 232,865,118,721
  5. Step 5: Solve for x
    x = 232,865,118,721/221,042
  6. Step 6: Final answer
    x = 1,053,488.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.