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Finding the Third Proportional to 85,869 and 177,138

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Solution

The third proportional to 85,869 and 177,138 is: 365,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 177,138 = 177,138 : x
  2. Step 2: Convert to fraction form
    85,869/177,138 = 177,138/x
  3. Step 3: Cross multiply
    85,869x = 177,138 × 177,138
  4. Step 4: Simplify right side
    85,869x = 31,377,871,044
  5. Step 5: Solve for x
    x = 31,377,871,044/85,869
  6. Step 6: Final answer
    x = 365,415.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.