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Finding the Third Proportional to 149,717 and 218,991

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Solution

The third proportional to 149,717 and 218,991 is: 320,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717 : 218,991 = 218,991 : x
  2. Step 2: Convert to fraction form
    149,717/218,991 = 218,991/x
  3. Step 3: Cross multiply
    149,717x = 218,991 × 218,991
  4. Step 4: Simplify right side
    149,717x = 47,957,058,081
  5. Step 5: Solve for x
    x = 47,957,058,081/149,717
  6. Step 6: Final answer
    x = 320,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.