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Finding the Third Proportional to 135,916 and 209,934

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Solution

The third proportional to 135,916 and 209,934 is: 324,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,916 : 209,934 = 209,934 : x
  2. Step 2: Convert to fraction form
    135,916/209,934 = 209,934/x
  3. Step 3: Cross multiply
    135,916x = 209,934 × 209,934
  4. Step 4: Simplify right side
    135,916x = 44,072,284,356
  5. Step 5: Solve for x
    x = 44,072,284,356/135,916
  6. Step 6: Final answer
    x = 324,261.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.