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Finding the Third Proportional to 80,186 and 173,206

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Solution

The third proportional to 80,186 and 173,206 is: 374,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,186 : 173,206 = 173,206 : x
  2. Step 2: Convert to fraction form
    80,186/173,206 = 173,206/x
  3. Step 3: Cross multiply
    80,186x = 173,206 × 173,206
  4. Step 4: Simplify right side
    80,186x = 30,000,318,436
  5. Step 5: Solve for x
    x = 30,000,318,436/80,186
  6. Step 6: Final answer
    x = 374,134.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.