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Finding the Third Proportional to 551.25 and 1,186.97

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Solution

The third proportional to 551.25 and 1,186.97 is: 2,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.25 : 1,186.97 = 1,186.97 : x
  2. Step 2: Convert to fraction form
    551.25/1,186.97 = 1,186.97/x
  3. Step 3: Cross multiply
    551.25x = 1,186.97 × 1,186.97
  4. Step 4: Simplify right side
    551.25x = 1,408,894.81
  5. Step 5: Solve for x
    x = 1,408,894.81/551.25
  6. Step 6: Final answer
    x = 2,555.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.