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Finding the Third Proportional to 240,854 and 338,876

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Solution

The third proportional to 240,854 and 338,876 is: 476,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,854 : 338,876 = 338,876 : x
  2. Step 2: Convert to fraction form
    240,854/338,876 = 338,876/x
  3. Step 3: Cross multiply
    240,854x = 338,876 × 338,876
  4. Step 4: Simplify right side
    240,854x = 114,836,943,376
  5. Step 5: Solve for x
    x = 114,836,943,376/240,854
  6. Step 6: Final answer
    x = 476,790.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.