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Finding the Third Proportional to 139,771 and 186,219

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Solution

The third proportional to 139,771 and 186,219 is: 248,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,771 : 186,219 = 186,219 : x
  2. Step 2: Convert to fraction form
    139,771/186,219 = 186,219/x
  3. Step 3: Cross multiply
    139,771x = 186,219 × 186,219
  4. Step 4: Simplify right side
    139,771x = 34,677,515,961
  5. Step 5: Solve for x
    x = 34,677,515,961/139,771
  6. Step 6: Final answer
    x = 248,102.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.