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Finding the Third Proportional to 100,280 and 216,234

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Solution

The third proportional to 100,280 and 216,234 is: 466,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,280 : 216,234 = 216,234 : x
  2. Step 2: Convert to fraction form
    100,280/216,234 = 216,234/x
  3. Step 3: Cross multiply
    100,280x = 216,234 × 216,234
  4. Step 4: Simplify right side
    100,280x = 46,757,142,756
  5. Step 5: Solve for x
    x = 46,757,142,756/100,280
  6. Step 6: Final answer
    x = 466,265.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.