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Finding the Third Proportional to 137,189 and 211,134

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Solution

The third proportional to 137,189 and 211,134 is: 324,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189 : 211,134 = 211,134 : x
  2. Step 2: Convert to fraction form
    137,189/211,134 = 211,134/x
  3. Step 3: Cross multiply
    137,189x = 211,134 × 211,134
  4. Step 4: Simplify right side
    137,189x = 44,577,565,956
  5. Step 5: Solve for x
    x = 44,577,565,956/137,189
  6. Step 6: Final answer
    x = 324,935.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.