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Finding the Third Proportional to 108,381 and 143,847

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Solution

The third proportional to 108,381 and 143,847 is: 190,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,381 : 143,847 = 143,847 : x
  2. Step 2: Convert to fraction form
    108,381/143,847 = 143,847/x
  3. Step 3: Cross multiply
    108,381x = 143,847 × 143,847
  4. Step 4: Simplify right side
    108,381x = 20,691,959,409
  5. Step 5: Solve for x
    x = 20,691,959,409/108,381
  6. Step 6: Final answer
    x = 190,918.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.