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Finding the Third Proportional to 138,284 and 189,249

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Solution

The third proportional to 138,284 and 189,249 is: 258,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,284 : 189,249 = 189,249 : x
  2. Step 2: Convert to fraction form
    138,284/189,249 = 189,249/x
  3. Step 3: Cross multiply
    138,284x = 189,249 × 189,249
  4. Step 4: Simplify right side
    138,284x = 35,815,184,001
  5. Step 5: Solve for x
    x = 35,815,184,001/138,284
  6. Step 6: Final answer
    x = 258,997.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.