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Finding the Third Proportional to 353.11 and 771.71

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Solution

The third proportional to 353.11 and 771.71 is: 1,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.11 : 771.71 = 771.71 : x
  2. Step 2: Convert to fraction form
    353.11/771.71 = 771.71/x
  3. Step 3: Cross multiply
    353.11x = 771.71 × 771.71
  4. Step 4: Simplify right side
    353.11x = 595,543.80
  5. Step 5: Solve for x
    x = 595,543.80/353.11
  6. Step 6: Final answer
    x = 1,686.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.