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Finding the Third Proportional to 100,344 and 217,962

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Solution

The third proportional to 100,344 and 217,962 is: 473,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344 : 217,962 = 217,962 : x
  2. Step 2: Convert to fraction form
    100,344/217,962 = 217,962/x
  3. Step 3: Cross multiply
    100,344x = 217,962 × 217,962
  4. Step 4: Simplify right side
    100,344x = 47,507,433,444
  5. Step 5: Solve for x
    x = 47,507,433,444/100,344
  6. Step 6: Final answer
    x = 473,445.68

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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.