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Finding the Third Proportional to 137,118 and 305,744

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Solution

The third proportional to 137,118 and 305,744 is: 681,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,118 : 305,744 = 305,744 : x
  2. Step 2: Convert to fraction form
    137,118/305,744 = 305,744/x
  3. Step 3: Cross multiply
    137,118x = 305,744 × 305,744
  4. Step 4: Simplify right side
    137,118x = 93,479,393,536
  5. Step 5: Solve for x
    x = 93,479,393,536/137,118
  6. Step 6: Final answer
    x = 681,744.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.