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Finding the Third Proportional to 136,869 and 206,169

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Solution

The third proportional to 136,869 and 206,169 is: 310,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,869 : 206,169 = 206,169 : x
  2. Step 2: Convert to fraction form
    136,869/206,169 = 206,169/x
  3. Step 3: Cross multiply
    136,869x = 206,169 × 206,169
  4. Step 4: Simplify right side
    136,869x = 42,505,656,561
  5. Step 5: Solve for x
    x = 42,505,656,561/136,869
  6. Step 6: Final answer
    x = 310,557.22

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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.