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Finding the Third Proportional to 99,160 and 217,976

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Solution

The third proportional to 99,160 and 217,976 is: 479,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,160 : 217,976 = 217,976 : x
  2. Step 2: Convert to fraction form
    99,160/217,976 = 217,976/x
  3. Step 3: Cross multiply
    99,160x = 217,976 × 217,976
  4. Step 4: Simplify right side
    99,160x = 47,513,536,576
  5. Step 5: Solve for x
    x = 47,513,536,576/99,160
  6. Step 6: Final answer
    x = 479,160.31

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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.