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Finding the Third Proportional to 129,286 and 274,223

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Solution

The third proportional to 129,286 and 274,223 is: 581,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,286 : 274,223 = 274,223 : x
  2. Step 2: Convert to fraction form
    129,286/274,223 = 274,223/x
  3. Step 3: Cross multiply
    129,286x = 274,223 × 274,223
  4. Step 4: Simplify right side
    129,286x = 75,198,253,729
  5. Step 5: Solve for x
    x = 75,198,253,729/129,286
  6. Step 6: Final answer
    x = 581,642.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.