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Finding the Third Proportional to 752.74 and 1,158.47

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Solution

The third proportional to 752.74 and 1,158.47 is: 1,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.74 : 1,158.47 = 1,158.47 : x
  2. Step 2: Convert to fraction form
    752.74/1,158.47 = 1,158.47/x
  3. Step 3: Cross multiply
    752.74x = 1,158.47 × 1,158.47
  4. Step 4: Simplify right side
    752.74x = 1,342,049.84
  5. Step 5: Solve for x
    x = 1,342,049.84/752.74
  6. Step 6: Final answer
    x = 1,782.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.