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Finding the Third Proportional to 792.25 and 1,183.75

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Solution

The third proportional to 792.25 and 1,183.75 is: 1,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,183.75 = 1,183.75 : x
  2. Step 2: Convert to fraction form
    792.25/1,183.75 = 1,183.75/x
  3. Step 3: Cross multiply
    792.25x = 1,183.75 × 1,183.75
  4. Step 4: Simplify right side
    792.25x = 1,401,264.06
  5. Step 5: Solve for x
    x = 1,401,264.06/792.25
  6. Step 6: Final answer
    x = 1,768.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.