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Finding the Third Proportional to 240,856 and 338,879

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Solution

The third proportional to 240,856 and 338,879 is: 476,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,856 : 338,879 = 338,879 : x
  2. Step 2: Convert to fraction form
    240,856/338,879 = 338,879/x
  3. Step 3: Cross multiply
    240,856x = 338,879 × 338,879
  4. Step 4: Simplify right side
    240,856x = 114,838,976,641
  5. Step 5: Solve for x
    x = 114,838,976,641/240,856
  6. Step 6: Final answer
    x = 476,795.17

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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.