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Finding the Third Proportional to 85,869 and 131,357

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Solution

The third proportional to 85,869 and 131,357 is: 200,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 131,357 = 131,357 : x
  2. Step 2: Convert to fraction form
    85,869/131,357 = 131,357/x
  3. Step 3: Cross multiply
    85,869x = 131,357 × 131,357
  4. Step 4: Simplify right side
    85,869x = 17,254,661,449
  5. Step 5: Solve for x
    x = 17,254,661,449/85,869
  6. Step 6: Final answer
    x = 200,941.68

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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.