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Finding the Third Proportional to 136,038 and 211,161

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Solution

The third proportional to 136,038 and 211,161 is: 327,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038 : 211,161 = 211,161 : x
  2. Step 2: Convert to fraction form
    136,038/211,161 = 211,161/x
  3. Step 3: Cross multiply
    136,038x = 211,161 × 211,161
  4. Step 4: Simplify right side
    136,038x = 44,588,967,921
  5. Step 5: Solve for x
    x = 44,588,967,921/136,038
  6. Step 6: Final answer
    x = 327,768.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.