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Finding the Third Proportional to 91,692 and 140,261

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Solution

The third proportional to 91,692 and 140,261 is: 214,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,692 : 140,261 = 140,261 : x
  2. Step 2: Convert to fraction form
    91,692/140,261 = 140,261/x
  3. Step 3: Cross multiply
    91,692x = 140,261 × 140,261
  4. Step 4: Simplify right side
    91,692x = 19,673,148,121
  5. Step 5: Solve for x
    x = 19,673,148,121/91,692
  6. Step 6: Final answer
    x = 214,556.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.