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Finding the Third Proportional to 726.19 and 1,720.97

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Solution

The third proportional to 726.19 and 1,720.97 is: 4,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.19 : 1,720.97 = 1,720.97 : x
  2. Step 2: Convert to fraction form
    726.19/1,720.97 = 1,720.97/x
  3. Step 3: Cross multiply
    726.19x = 1,720.97 × 1,720.97
  4. Step 4: Simplify right side
    726.19x = 2,961,733.44
  5. Step 5: Solve for x
    x = 2,961,733.44/726.19
  6. Step 6: Final answer
    x = 4,078.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.