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Finding the Third Proportional to 138,586.50 and 193,086

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Solution

The third proportional to 138,586.50 and 193,086 is: 269,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,586.50 : 193,086 = 193,086 : x
  2. Step 2: Convert to fraction form
    138,586.50/193,086 = 193,086/x
  3. Step 3: Cross multiply
    138,586.50x = 193,086 × 193,086
  4. Step 4: Simplify right side
    138,586.50x = 37,282,203,396
  5. Step 5: Solve for x
    x = 37,282,203,396/138,586.50
  6. Step 6: Final answer
    x = 269,017.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.