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Finding the Third Proportional to 80,689 and 170,974

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Solution

The third proportional to 80,689 and 170,974 is: 362,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,689 : 170,974 = 170,974 : x
  2. Step 2: Convert to fraction form
    80,689/170,974 = 170,974/x
  3. Step 3: Cross multiply
    80,689x = 170,974 × 170,974
  4. Step 4: Simplify right side
    80,689x = 29,232,108,676
  5. Step 5: Solve for x
    x = 29,232,108,676/80,689
  6. Step 6: Final answer
    x = 362,281.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.