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Finding the Third Proportional to 138,172 and 211,267

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Solution

The third proportional to 138,172 and 211,267 is: 323,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,172 : 211,267 = 211,267 : x
  2. Step 2: Convert to fraction form
    138,172/211,267 = 211,267/x
  3. Step 3: Cross multiply
    138,172x = 211,267 × 211,267
  4. Step 4: Simplify right side
    138,172x = 44,633,745,289
  5. Step 5: Solve for x
    x = 44,633,745,289/138,172
  6. Step 6: Final answer
    x = 323,030.32

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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.