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Finding the Third Proportional to 87,692 and 189,398

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Solution

The third proportional to 87,692 and 189,398 is: 409,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,692 : 189,398 = 189,398 : x
  2. Step 2: Convert to fraction form
    87,692/189,398 = 189,398/x
  3. Step 3: Cross multiply
    87,692x = 189,398 × 189,398
  4. Step 4: Simplify right side
    87,692x = 35,871,602,404
  5. Step 5: Solve for x
    x = 35,871,602,404/87,692
  6. Step 6: Final answer
    x = 409,063.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.