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Finding the Third Proportional to 86,438 and 178,876

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Solution

The third proportional to 86,438 and 178,876 is: 370,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438 : 178,876 = 178,876 : x
  2. Step 2: Convert to fraction form
    86,438/178,876 = 178,876/x
  3. Step 3: Cross multiply
    86,438x = 178,876 × 178,876
  4. Step 4: Simplify right side
    86,438x = 31,996,623,376
  5. Step 5: Solve for x
    x = 31,996,623,376/86,438
  6. Step 6: Final answer
    x = 370,168.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.