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Finding the Third Proportional to 83,619 and 171,315

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Solution

The third proportional to 83,619 and 171,315 is: 350,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 171,315 = 171,315 : x
  2. Step 2: Convert to fraction form
    83,619/171,315 = 171,315/x
  3. Step 3: Cross multiply
    83,619x = 171,315 × 171,315
  4. Step 4: Simplify right side
    83,619x = 29,348,829,225
  5. Step 5: Solve for x
    x = 29,348,829,225/83,619
  6. Step 6: Final answer
    x = 350,982.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.