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Finding the Third Proportional to 135,989 and 191,163

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Solution

The third proportional to 135,989 and 191,163 is: 268,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,989 : 191,163 = 191,163 : x
  2. Step 2: Convert to fraction form
    135,989/191,163 = 191,163/x
  3. Step 3: Cross multiply
    135,989x = 191,163 × 191,163
  4. Step 4: Simplify right side
    135,989x = 36,543,292,569
  5. Step 5: Solve for x
    x = 36,543,292,569/135,989
  6. Step 6: Final answer
    x = 268,722.42

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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.