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Finding the Third Proportional to 752.73 and 919.32

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Solution

The third proportional to 752.73 and 919.32 is: 1,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.73 : 919.32 = 919.32 : x
  2. Step 2: Convert to fraction form
    752.73/919.32 = 919.32/x
  3. Step 3: Cross multiply
    752.73x = 919.32 × 919.32
  4. Step 4: Simplify right side
    752.73x = 845,146.25
  5. Step 5: Solve for x
    x = 845,146.25/752.73
  6. Step 6: Final answer
    x = 1,122.77

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.