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Finding the Third Proportional to 100,800 and 217,215

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Solution

The third proportional to 100,800 and 217,215 is: 468,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,800 : 217,215 = 217,215 : x
  2. Step 2: Convert to fraction form
    100,800/217,215 = 217,215/x
  3. Step 3: Cross multiply
    100,800x = 217,215 × 217,215
  4. Step 4: Simplify right side
    100,800x = 47,182,356,225
  5. Step 5: Solve for x
    x = 47,182,356,225/100,800
  6. Step 6: Final answer
    x = 468,078.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.