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Finding the Third Proportional to 136,245 and 204,411

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Solution

The third proportional to 136,245 and 204,411 is: 306,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,245 : 204,411 = 204,411 : x
  2. Step 2: Convert to fraction form
    136,245/204,411 = 204,411/x
  3. Step 3: Cross multiply
    136,245x = 204,411 × 204,411
  4. Step 4: Simplify right side
    136,245x = 41,783,856,921
  5. Step 5: Solve for x
    x = 41,783,856,921/136,245
  6. Step 6: Final answer
    x = 306,681.76

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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.