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Finding the Third Proportional to 221,005 and 482,491

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Solution

The third proportional to 221,005 and 482,491 is: 1,053,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005 : 482,491 = 482,491 : x
  2. Step 2: Convert to fraction form
    221,005/482,491 = 482,491/x
  3. Step 3: Cross multiply
    221,005x = 482,491 × 482,491
  4. Step 4: Simplify right side
    221,005x = 232,797,565,081
  5. Step 5: Solve for x
    x = 232,797,565,081/221,005
  6. Step 6: Final answer
    x = 1,053,358.82

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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.