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Finding the Third Proportional to 91,190 and 140,079

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Solution

The third proportional to 91,190 and 140,079 is: 215,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,190 : 140,079 = 140,079 : x
  2. Step 2: Convert to fraction form
    91,190/140,079 = 140,079/x
  3. Step 3: Cross multiply
    91,190x = 140,079 × 140,079
  4. Step 4: Simplify right side
    91,190x = 19,622,126,241
  5. Step 5: Solve for x
    x = 19,622,126,241/91,190
  6. Step 6: Final answer
    x = 215,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.