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Finding the Third Proportional to 100,020.75 and 217,213.13

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Solution

The third proportional to 100,020.75 and 217,213.13 is: 471,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.75 : 217,213.13 = 217,213.13 : x
  2. Step 2: Convert to fraction form
    100,020.75/217,213.13 = 217,213.13/x
  3. Step 3: Cross multiply
    100,020.75x = 217,213.13 × 217,213.13
  4. Step 4: Simplify right side
    100,020.75x = 47,181,541,672.27
  5. Step 5: Solve for x
    x = 47,181,541,672.27/100,020.75
  6. Step 6: Final answer
    x = 471,717.54

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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.