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Finding the Third Proportional to 100,226 and 217,939

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Solution

The third proportional to 100,226 and 217,939 is: 473,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226 : 217,939 = 217,939 : x
  2. Step 2: Convert to fraction form
    100,226/217,939 = 217,939/x
  3. Step 3: Cross multiply
    100,226x = 217,939 × 217,939
  4. Step 4: Simplify right side
    100,226x = 47,497,407,721
  5. Step 5: Solve for x
    x = 47,497,407,721/100,226
  6. Step 6: Final answer
    x = 473,903.06

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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.