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Finding the Third Proportional to 80,217 and 162,381

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Solution

The third proportional to 80,217 and 162,381 is: 328,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,217 : 162,381 = 162,381 : x
  2. Step 2: Convert to fraction form
    80,217/162,381 = 162,381/x
  3. Step 3: Cross multiply
    80,217x = 162,381 × 162,381
  4. Step 4: Simplify right side
    80,217x = 26,367,589,161
  5. Step 5: Solve for x
    x = 26,367,589,161/80,217
  6. Step 6: Final answer
    x = 328,703.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.