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Finding the Third Proportional to 136,836 and 204,708

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Solution

The third proportional to 136,836 and 204,708 is: 306,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,836 : 204,708 = 204,708 : x
  2. Step 2: Convert to fraction form
    136,836/204,708 = 204,708/x
  3. Step 3: Cross multiply
    136,836x = 204,708 × 204,708
  4. Step 4: Simplify right side
    136,836x = 41,905,365,264
  5. Step 5: Solve for x
    x = 41,905,365,264/136,836
  6. Step 6: Final answer
    x = 306,245.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.