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Finding the Third Proportional to 78,826 and 167,876

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Solution

The third proportional to 78,826 and 167,876 is: 357,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826 : 167,876 = 167,876 : x
  2. Step 2: Convert to fraction form
    78,826/167,876 = 167,876/x
  3. Step 3: Cross multiply
    78,826x = 167,876 × 167,876
  4. Step 4: Simplify right side
    78,826x = 28,182,351,376
  5. Step 5: Solve for x
    x = 28,182,351,376/78,826
  6. Step 6: Final answer
    x = 357,526.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.