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Finding the Third Proportional to 135,440 and 206,180

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Solution

The third proportional to 135,440 and 206,180 is: 313,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,440 : 206,180 = 206,180 : x
  2. Step 2: Convert to fraction form
    135,440/206,180 = 206,180/x
  3. Step 3: Cross multiply
    135,440x = 206,180 × 206,180
  4. Step 4: Simplify right side
    135,440x = 42,510,192,400
  5. Step 5: Solve for x
    x = 42,510,192,400/135,440
  6. Step 6: Final answer
    x = 313,867.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.