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Finding the Third Proportional to 135,615 and 204,413

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Solution

The third proportional to 135,615 and 204,413 is: 308,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,615 : 204,413 = 204,413 : x
  2. Step 2: Convert to fraction form
    135,615/204,413 = 204,413/x
  3. Step 3: Cross multiply
    135,615x = 204,413 × 204,413
  4. Step 4: Simplify right side
    135,615x = 41,784,674,569
  5. Step 5: Solve for x
    x = 41,784,674,569/135,615
  6. Step 6: Final answer
    x = 308,112.48

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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.