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Finding the Third Proportional to 80,219 and 162,385

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Solution

The third proportional to 80,219 and 162,385 is: 328,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219 : 162,385 = 162,385 : x
  2. Step 2: Convert to fraction form
    80,219/162,385 = 162,385/x
  3. Step 3: Cross multiply
    80,219x = 162,385 × 162,385
  4. Step 4: Simplify right side
    80,219x = 26,368,888,225
  5. Step 5: Solve for x
    x = 26,368,888,225/80,219
  6. Step 6: Final answer
    x = 328,711.26

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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.