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Finding the Third Proportional to 136,512 and 206,676

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Solution

The third proportional to 136,512 and 206,676 is: 312,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,512 : 206,676 = 206,676 : x
  2. Step 2: Convert to fraction form
    136,512/206,676 = 206,676/x
  3. Step 3: Cross multiply
    136,512x = 206,676 × 206,676
  4. Step 4: Simplify right side
    136,512x = 42,714,968,976
  5. Step 5: Solve for x
    x = 42,714,968,976/136,512
  6. Step 6: Final answer
    x = 312,902.67

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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.