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Finding the Third Proportional to 387.42 and 861.33

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Solution

The third proportional to 387.42 and 861.33 is: 1,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 861.33 = 861.33 : x
  2. Step 2: Convert to fraction form
    387.42/861.33 = 861.33/x
  3. Step 3: Cross multiply
    387.42x = 861.33 × 861.33
  4. Step 4: Simplify right side
    387.42x = 741,886.14
  5. Step 5: Solve for x
    x = 741,886.14/387.42
  6. Step 6: Final answer
    x = 1,914.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.