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Finding the Third Proportional to 80,586 and 172,836

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Solution

The third proportional to 80,586 and 172,836 is: 370,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586 : 172,836 = 172,836 : x
  2. Step 2: Convert to fraction form
    80,586/172,836 = 172,836/x
  3. Step 3: Cross multiply
    80,586x = 172,836 × 172,836
  4. Step 4: Simplify right side
    80,586x = 29,872,282,896
  5. Step 5: Solve for x
    x = 29,872,282,896/80,586
  6. Step 6: Final answer
    x = 370,688.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.