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Finding the Third Proportional to 217,938 and 336,759

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Solution

The third proportional to 217,938 and 336,759 is: 520,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,938 : 336,759 = 336,759 : x
  2. Step 2: Convert to fraction form
    217,938/336,759 = 336,759/x
  3. Step 3: Cross multiply
    217,938x = 336,759 × 336,759
  4. Step 4: Simplify right side
    217,938x = 113,406,624,081
  5. Step 5: Solve for x
    x = 113,406,624,081/217,938
  6. Step 6: Final answer
    x = 520,361.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.