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Finding the Third Proportional to 814.88 and 1,305.56

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Solution

The third proportional to 814.88 and 1,305.56 is: 2,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.88 : 1,305.56 = 1,305.56 : x
  2. Step 2: Convert to fraction form
    814.88/1,305.56 = 1,305.56/x
  3. Step 3: Cross multiply
    814.88x = 1,305.56 × 1,305.56
  4. Step 4: Simplify right side
    814.88x = 1,704,493.44
  5. Step 5: Solve for x
    x = 1,704,493.44/814.88
  6. Step 6: Final answer
    x = 2,091.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.