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Finding the Third Proportional to 136,738 and 206,994

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Solution

The third proportional to 136,738 and 206,994 is: 313,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,738 : 206,994 = 206,994 : x
  2. Step 2: Convert to fraction form
    136,738/206,994 = 206,994/x
  3. Step 3: Cross multiply
    136,738x = 206,994 × 206,994
  4. Step 4: Simplify right side
    136,738x = 42,846,516,036
  5. Step 5: Solve for x
    x = 42,846,516,036/136,738
  6. Step 6: Final answer
    x = 313,347.54

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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.