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Finding the Third Proportional to 136,758 and 206,958

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Solution

The third proportional to 136,758 and 206,958 is: 313,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,758 : 206,958 = 206,958 : x
  2. Step 2: Convert to fraction form
    136,758/206,958 = 206,958/x
  3. Step 3: Cross multiply
    136,758x = 206,958 × 206,958
  4. Step 4: Simplify right side
    136,758x = 42,831,613,764
  5. Step 5: Solve for x
    x = 42,831,613,764/136,758
  6. Step 6: Final answer
    x = 313,192.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.