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Finding the Third Proportional to 136,938 and 204,489

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Solution

The third proportional to 136,938 and 204,489 is: 305,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938 : 204,489 = 204,489 : x
  2. Step 2: Convert to fraction form
    136,938/204,489 = 204,489/x
  3. Step 3: Cross multiply
    136,938x = 204,489 × 204,489
  4. Step 4: Simplify right side
    136,938x = 41,815,751,121
  5. Step 5: Solve for x
    x = 41,815,751,121/136,938
  6. Step 6: Final answer
    x = 305,362.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.