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Finding the Third Proportional to 99,170 and 217,996

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Solution

The third proportional to 99,170 and 217,996 is: 479,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,170 : 217,996 = 217,996 : x
  2. Step 2: Convert to fraction form
    99,170/217,996 = 217,996/x
  3. Step 3: Cross multiply
    99,170x = 217,996 × 217,996
  4. Step 4: Simplify right side
    99,170x = 47,522,256,016
  5. Step 5: Solve for x
    x = 47,522,256,016/99,170
  6. Step 6: Final answer
    x = 479,199.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.