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Finding the Third Proportional to 90,114 and 126,759

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Solution

The third proportional to 90,114 and 126,759 is: 178,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,114 : 126,759 = 126,759 : x
  2. Step 2: Convert to fraction form
    90,114/126,759 = 126,759/x
  3. Step 3: Cross multiply
    90,114x = 126,759 × 126,759
  4. Step 4: Simplify right side
    90,114x = 16,067,844,081
  5. Step 5: Solve for x
    x = 16,067,844,081/90,114
  6. Step 6: Final answer
    x = 178,305.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.