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Finding the Third Proportional to 99,226 and 217,081

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Solution

The third proportional to 99,226 and 217,081 is: 474,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,226 : 217,081 = 217,081 : x
  2. Step 2: Convert to fraction form
    99,226/217,081 = 217,081/x
  3. Step 3: Cross multiply
    99,226x = 217,081 × 217,081
  4. Step 4: Simplify right side
    99,226x = 47,124,160,561
  5. Step 5: Solve for x
    x = 47,124,160,561/99,226
  6. Step 6: Final answer
    x = 474,917.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.