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Finding the Third Proportional to 180,384 and 391,864

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Solution

The third proportional to 180,384 and 391,864 is: 851,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,384 : 391,864 = 391,864 : x
  2. Step 2: Convert to fraction form
    180,384/391,864 = 391,864/x
  3. Step 3: Cross multiply
    180,384x = 391,864 × 391,864
  4. Step 4: Simplify right side
    180,384x = 153,557,394,496
  5. Step 5: Solve for x
    x = 153,557,394,496/180,384
  6. Step 6: Final answer
    x = 851,280.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.