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Finding the Third Proportional to 86,738 and 189,349

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Solution

The third proportional to 86,738 and 189,349 is: 413,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,738 : 189,349 = 189,349 : x
  2. Step 2: Convert to fraction form
    86,738/189,349 = 189,349/x
  3. Step 3: Cross multiply
    86,738x = 189,349 × 189,349
  4. Step 4: Simplify right side
    86,738x = 35,853,043,801
  5. Step 5: Solve for x
    x = 35,853,043,801/86,738
  6. Step 6: Final answer
    x = 413,348.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.