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Finding the Third Proportional to 139,611 and 187,269

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Solution

The third proportional to 139,611 and 187,269 is: 251,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,611 : 187,269 = 187,269 : x
  2. Step 2: Convert to fraction form
    139,611/187,269 = 187,269/x
  3. Step 3: Cross multiply
    139,611x = 187,269 × 187,269
  4. Step 4: Simplify right side
    139,611x = 35,069,678,361
  5. Step 5: Solve for x
    x = 35,069,678,361/139,611
  6. Step 6: Final answer
    x = 251,195.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.