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Finding the Third Proportional to 80,660 and 185,138

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Solution

The third proportional to 80,660 and 185,138 is: 424,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,660 : 185,138 = 185,138 : x
  2. Step 2: Convert to fraction form
    80,660/185,138 = 185,138/x
  3. Step 3: Cross multiply
    80,660x = 185,138 × 185,138
  4. Step 4: Simplify right side
    80,660x = 34,276,079,044
  5. Step 5: Solve for x
    x = 34,276,079,044/80,660
  6. Step 6: Final answer
    x = 424,945.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.