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Finding the Third Proportional to 101,827.13 and 223,744.78

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Solution

The third proportional to 101,827.13 and 223,744.78 is: 491,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.13 : 223,744.78 = 223,744.78 : x
  2. Step 2: Convert to fraction form
    101,827.13/223,744.78 = 223,744.78/x
  3. Step 3: Cross multiply
    101,827.13x = 223,744.78 × 223,744.78
  4. Step 4: Simplify right side
    101,827.13x = 50,061,727,136.61
  5. Step 5: Solve for x
    x = 50,061,727,136.61/101,827.13
  6. Step 6: Final answer
    x = 491,634.49

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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.