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Finding the Third Proportional to 138,165 and 211,257

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Solution

The third proportional to 138,165 and 211,257 is: 323,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165 : 211,257 = 211,257 : x
  2. Step 2: Convert to fraction form
    138,165/211,257 = 211,257/x
  3. Step 3: Cross multiply
    138,165x = 211,257 × 211,257
  4. Step 4: Simplify right side
    138,165x = 44,629,520,049
  5. Step 5: Solve for x
    x = 44,629,520,049/138,165
  6. Step 6: Final answer
    x = 323,016.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.