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Finding the Third Proportional to 551.06 and 811.31

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Solution

The third proportional to 551.06 and 811.31 is: 1,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.06 : 811.31 = 811.31 : x
  2. Step 2: Convert to fraction form
    551.06/811.31 = 811.31/x
  3. Step 3: Cross multiply
    551.06x = 811.31 × 811.31
  4. Step 4: Simplify right side
    551.06x = 658,227.97
  5. Step 5: Solve for x
    x = 658,227.97/551.06
  6. Step 6: Final answer
    x = 1,194.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.