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Finding the Third Proportional to 90,660 and 127,443

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Solution

The third proportional to 90,660 and 127,443 is: 179,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660 : 127,443 = 127,443 : x
  2. Step 2: Convert to fraction form
    90,660/127,443 = 127,443/x
  3. Step 3: Cross multiply
    90,660x = 127,443 × 127,443
  4. Step 4: Simplify right side
    90,660x = 16,241,718,249
  5. Step 5: Solve for x
    x = 16,241,718,249/90,660
  6. Step 6: Final answer
    x = 179,149.77

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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.