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Finding the Third Proportional to 180,286 and 261,133

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Solution

The third proportional to 180,286 and 261,133 is: 378,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,286 : 261,133 = 261,133 : x
  2. Step 2: Convert to fraction form
    180,286/261,133 = 261,133/x
  3. Step 3: Cross multiply
    180,286x = 261,133 × 261,133
  4. Step 4: Simplify right side
    180,286x = 68,190,443,689
  5. Step 5: Solve for x
    x = 68,190,443,689/180,286
  6. Step 6: Final answer
    x = 378,234.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.