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Finding the Third Proportional to 80,215 and 162,377

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Solution

The third proportional to 80,215 and 162,377 is: 328,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,215 : 162,377 = 162,377 : x
  2. Step 2: Convert to fraction form
    80,215/162,377 = 162,377/x
  3. Step 3: Cross multiply
    80,215x = 162,377 × 162,377
  4. Step 4: Simplify right side
    80,215x = 26,366,290,129
  5. Step 5: Solve for x
    x = 26,366,290,129/80,215
  6. Step 6: Final answer
    x = 328,695.26

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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.