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Finding the Third Proportional to 100,225 and 217,550

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Solution

The third proportional to 100,225 and 217,550 is: 472,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225 : 217,550 = 217,550 : x
  2. Step 2: Convert to fraction form
    100,225/217,550 = 217,550/x
  3. Step 3: Cross multiply
    100,225x = 217,550 × 217,550
  4. Step 4: Simplify right side
    100,225x = 47,328,002,500
  5. Step 5: Solve for x
    x = 47,328,002,500/100,225
  6. Step 6: Final answer
    x = 472,217.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.