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Finding the Third Proportional to 240,864 and 338,891

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Solution

The third proportional to 240,864 and 338,891 is: 476,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,864 : 338,891 = 338,891 : x
  2. Step 2: Convert to fraction form
    240,864/338,891 = 338,891/x
  3. Step 3: Cross multiply
    240,864x = 338,891 × 338,891
  4. Step 4: Simplify right side
    240,864x = 114,847,109,881
  5. Step 5: Solve for x
    x = 114,847,109,881/240,864
  6. Step 6: Final answer
    x = 476,813.10

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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.