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Finding the Third Proportional to 576.66 and 813.56

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Solution

The third proportional to 576.66 and 813.56 is: 1,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.66 : 813.56 = 813.56 : x
  2. Step 2: Convert to fraction form
    576.66/813.56 = 813.56/x
  3. Step 3: Cross multiply
    576.66x = 813.56 × 813.56
  4. Step 4: Simplify right side
    576.66x = 661,883.94
  5. Step 5: Solve for x
    x = 661,883.94/576.66
  6. Step 6: Final answer
    x = 1,147.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.