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Finding the Third Proportional to 135,445 and 201,218

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Solution

The third proportional to 135,445 and 201,218 is: 298,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,445 : 201,218 = 201,218 : x
  2. Step 2: Convert to fraction form
    135,445/201,218 = 201,218/x
  3. Step 3: Cross multiply
    135,445x = 201,218 × 201,218
  4. Step 4: Simplify right side
    135,445x = 40,488,683,524
  5. Step 5: Solve for x
    x = 40,488,683,524/135,445
  6. Step 6: Final answer
    x = 298,930.81

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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.