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Finding the Third Proportional to 843.33 and 1,186.73

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Solution

The third proportional to 843.33 and 1,186.73 is: 1,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.33 : 1,186.73 = 1,186.73 : x
  2. Step 2: Convert to fraction form
    843.33/1,186.73 = 1,186.73/x
  3. Step 3: Cross multiply
    843.33x = 1,186.73 × 1,186.73
  4. Step 4: Simplify right side
    843.33x = 1,408,338.48
  5. Step 5: Solve for x
    x = 1,408,338.48/843.33
  6. Step 6: Final answer
    x = 1,669.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.