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Finding the Third Proportional to 100,861 and 217,282

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Solution

The third proportional to 100,861 and 217,282 is: 468,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,861 : 217,282 = 217,282 : x
  2. Step 2: Convert to fraction form
    100,861/217,282 = 217,282/x
  3. Step 3: Cross multiply
    100,861x = 217,282 × 217,282
  4. Step 4: Simplify right side
    100,861x = 47,211,467,524
  5. Step 5: Solve for x
    x = 47,211,467,524/100,861
  6. Step 6: Final answer
    x = 468,084.47

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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.