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Finding the Third Proportional to 191,987 and 270,241

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Solution

The third proportional to 191,987 and 270,241 is: 380,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,987 : 270,241 = 270,241 : x
  2. Step 2: Convert to fraction form
    191,987/270,241 = 270,241/x
  3. Step 3: Cross multiply
    191,987x = 270,241 × 270,241
  4. Step 4: Simplify right side
    191,987x = 73,030,198,081
  5. Step 5: Solve for x
    x = 73,030,198,081/191,987
  6. Step 6: Final answer
    x = 380,391.37

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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.