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Finding the Third Proportional to 264,928 and 399,876

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Solution

The third proportional to 264,928 and 399,876 is: 603,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,928 : 399,876 = 399,876 : x
  2. Step 2: Convert to fraction form
    264,928/399,876 = 399,876/x
  3. Step 3: Cross multiply
    264,928x = 399,876 × 399,876
  4. Step 4: Simplify right side
    264,928x = 159,900,815,376
  5. Step 5: Solve for x
    x = 159,900,815,376/264,928
  6. Step 6: Final answer
    x = 603,563.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.