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Finding the Third Proportional to 187,608 and 281,086

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Solution

The third proportional to 187,608 and 281,086 is: 421,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,608 : 281,086 = 281,086 : x
  2. Step 2: Convert to fraction form
    187,608/281,086 = 281,086/x
  3. Step 3: Cross multiply
    187,608x = 281,086 × 281,086
  4. Step 4: Simplify right side
    187,608x = 79,009,339,396
  5. Step 5: Solve for x
    x = 79,009,339,396/187,608
  6. Step 6: Final answer
    x = 421,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.