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Finding the Third Proportional to 720.81 and 1,571.37

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Solution

The third proportional to 720.81 and 1,571.37 is: 3,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.81 : 1,571.37 = 1,571.37 : x
  2. Step 2: Convert to fraction form
    720.81/1,571.37 = 1,571.37/x
  3. Step 3: Cross multiply
    720.81x = 1,571.37 × 1,571.37
  4. Step 4: Simplify right side
    720.81x = 2,469,210.95
  5. Step 5: Solve for x
    x = 2,469,210.95/720.81
  6. Step 6: Final answer
    x = 3,425.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.