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Finding the Third Proportional to 397.41 and 811.27

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Solution

The third proportional to 397.41 and 811.27 is: 1,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 811.27 = 811.27 : x
  2. Step 2: Convert to fraction form
    397.41/811.27 = 811.27/x
  3. Step 3: Cross multiply
    397.41x = 811.27 × 811.27
  4. Step 4: Simplify right side
    397.41x = 658,151.91
  5. Step 5: Solve for x
    x = 658,151.91/397.41
  6. Step 6: Final answer
    x = 1,656.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.