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Finding the Third Proportional to 720.75 and 1,578.38

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Solution

The third proportional to 720.75 and 1,578.38 is: 3,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 1,578.38 = 1,578.38 : x
  2. Step 2: Convert to fraction form
    720.75/1,578.38 = 1,578.38/x
  3. Step 3: Cross multiply
    720.75x = 1,578.38 × 1,578.38
  4. Step 4: Simplify right side
    720.75x = 2,491,267.64
  5. Step 5: Solve for x
    x = 2,491,267.64/720.75
  6. Step 6: Final answer
    x = 3,456.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.