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Finding the Third Proportional to 813.66 and 1,756.97

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Solution

The third proportional to 813.66 and 1,756.97 is: 3,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.66 : 1,756.97 = 1,756.97 : x
  2. Step 2: Convert to fraction form
    813.66/1,756.97 = 1,756.97/x
  3. Step 3: Cross multiply
    813.66x = 1,756.97 × 1,756.97
  4. Step 4: Simplify right side
    813.66x = 3,086,939.19
  5. Step 5: Solve for x
    x = 3,086,939.19/813.66
  6. Step 6: Final answer
    x = 3,793.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.