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Finding the Third Proportional to 148,678 and 326,876

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Solution

The third proportional to 148,678 and 326,876 is: 718,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,678 : 326,876 = 326,876 : x
  2. Step 2: Convert to fraction form
    148,678/326,876 = 326,876/x
  3. Step 3: Cross multiply
    148,678x = 326,876 × 326,876
  4. Step 4: Simplify right side
    148,678x = 106,847,919,376
  5. Step 5: Solve for x
    x = 106,847,919,376/148,678
  6. Step 6: Final answer
    x = 718,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.