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Finding the Third Proportional to 792.56 and 1,755.84

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Solution

The third proportional to 792.56 and 1,755.84 is: 3,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,755.84 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    792.56/1,755.84 = 1,755.84/x
  3. Step 3: Cross multiply
    792.56x = 1,755.84 × 1,755.84
  4. Step 4: Simplify right side
    792.56x = 3,082,987.27
  5. Step 5: Solve for x
    x = 3,082,987.27/792.56
  6. Step 6: Final answer
    x = 3,889.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.