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Finding the Third Proportional to 85,852 and 132,932

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Solution

The third proportional to 85,852 and 132,932 is: 205,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,852 : 132,932 = 132,932 : x
  2. Step 2: Convert to fraction form
    85,852/132,932 = 132,932/x
  3. Step 3: Cross multiply
    85,852x = 132,932 × 132,932
  4. Step 4: Simplify right side
    85,852x = 17,670,916,624
  5. Step 5: Solve for x
    x = 17,670,916,624/85,852
  6. Step 6: Final answer
    x = 205,829.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.