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Finding the Third Proportional to 148,764 and 309,876

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Solution

The third proportional to 148,764 and 309,876 is: 645,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,764 : 309,876 = 309,876 : x
  2. Step 2: Convert to fraction form
    148,764/309,876 = 309,876/x
  3. Step 3: Cross multiply
    148,764x = 309,876 × 309,876
  4. Step 4: Simplify right side
    148,764x = 96,023,135,376
  5. Step 5: Solve for x
    x = 96,023,135,376/148,764
  6. Step 6: Final answer
    x = 645,472.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.