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Finding the Third Proportional to 135,987 and 191,160

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Solution

The third proportional to 135,987 and 191,160 is: 268,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,987 : 191,160 = 191,160 : x
  2. Step 2: Convert to fraction form
    135,987/191,160 = 191,160/x
  3. Step 3: Cross multiply
    135,987x = 191,160 × 191,160
  4. Step 4: Simplify right side
    135,987x = 36,542,145,600
  5. Step 5: Solve for x
    x = 36,542,145,600/135,987
  6. Step 6: Final answer
    x = 268,717.93

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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.