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Finding the Third Proportional to 108,999.74 and 231,191.96

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Solution

The third proportional to 108,999.74 and 231,191.96 is: 490,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,999.74 : 231,191.96 = 231,191.96 : x
  2. Step 2: Convert to fraction form
    108,999.74/231,191.96 = 231,191.96/x
  3. Step 3: Cross multiply
    108,999.74x = 231,191.96 × 231,191.96
  4. Step 4: Simplify right side
    108,999.74x = 53,449,720,544.39
  5. Step 5: Solve for x
    x = 53,449,720,544.39/108,999.74
  6. Step 6: Final answer
    x = 490,365.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.