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Finding the Third Proportional to 99,096 and 217,872

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Solution

The third proportional to 99,096 and 217,872 is: 479,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,096 : 217,872 = 217,872 : x
  2. Step 2: Convert to fraction form
    99,096/217,872 = 217,872/x
  3. Step 3: Cross multiply
    99,096x = 217,872 × 217,872
  4. Step 4: Simplify right side
    99,096x = 47,468,208,384
  5. Step 5: Solve for x
    x = 47,468,208,384/99,096
  6. Step 6: Final answer
    x = 479,012.36

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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.