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Finding the Third Proportional to 133,738 and 278,680

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Solution

The third proportional to 133,738 and 278,680 is: 580,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738 : 278,680 = 278,680 : x
  2. Step 2: Convert to fraction form
    133,738/278,680 = 278,680/x
  3. Step 3: Cross multiply
    133,738x = 278,680 × 278,680
  4. Step 4: Simplify right side
    133,738x = 77,662,542,400
  5. Step 5: Solve for x
    x = 77,662,542,400/133,738
  6. Step 6: Final answer
    x = 580,706.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.