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Finding the Third Proportional to 108,418.50 and 261,177.75

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Solution

The third proportional to 108,418.50 and 261,177.75 is: 629,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,418.50 : 261,177.75 = 261,177.75 : x
  2. Step 2: Convert to fraction form
    108,418.50/261,177.75 = 261,177.75/x
  3. Step 3: Cross multiply
    108,418.50x = 261,177.75 × 261,177.75
  4. Step 4: Simplify right side
    108,418.50x = 68,213,817,095.06
  5. Step 5: Solve for x
    x = 68,213,817,095.06/108,418.50
  6. Step 6: Final answer
    x = 629,171.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.