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Finding the Third Proportional to 151,738 and 218,568

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Solution

The third proportional to 151,738 and 218,568 is: 314,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,738 : 218,568 = 218,568 : x
  2. Step 2: Convert to fraction form
    151,738/218,568 = 218,568/x
  3. Step 3: Cross multiply
    151,738x = 218,568 × 218,568
  4. Step 4: Simplify right side
    151,738x = 47,771,970,624
  5. Step 5: Solve for x
    x = 47,771,970,624/151,738
  6. Step 6: Final answer
    x = 314,831.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.