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Finding the Third Proportional to 220,987 and 482,456

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Solution

The third proportional to 220,987 and 482,456 is: 1,053,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,987 : 482,456 = 482,456 : x
  2. Step 2: Convert to fraction form
    220,987/482,456 = 482,456/x
  3. Step 3: Cross multiply
    220,987x = 482,456 × 482,456
  4. Step 4: Simplify right side
    220,987x = 232,763,791,936
  5. Step 5: Solve for x
    x = 232,763,791,936/220,987
  6. Step 6: Final answer
    x = 1,053,291.79

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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.