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Finding the Third Proportional to 578.39 and 1,221.33

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Solution

The third proportional to 578.39 and 1,221.33 is: 2,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 1,221.33 = 1,221.33 : x
  2. Step 2: Convert to fraction form
    578.39/1,221.33 = 1,221.33/x
  3. Step 3: Cross multiply
    578.39x = 1,221.33 × 1,221.33
  4. Step 4: Simplify right side
    578.39x = 1,491,642.39
  5. Step 5: Solve for x
    x = 1,491,642.39/578.39
  6. Step 6: Final answer
    x = 2,578.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.