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Finding the Third Proportional to 718.45 and 1,571.48

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Solution

The third proportional to 718.45 and 1,571.48 is: 3,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.45 : 1,571.48 = 1,571.48 : x
  2. Step 2: Convert to fraction form
    718.45/1,571.48 = 1,571.48/x
  3. Step 3: Cross multiply
    718.45x = 1,571.48 × 1,571.48
  4. Step 4: Simplify right side
    718.45x = 2,469,563.14
  5. Step 5: Solve for x
    x = 2,469,563.14/718.45
  6. Step 6: Final answer
    x = 3,437.33

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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.