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Finding the Third Proportional to 85,848 and 132,925

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Solution

The third proportional to 85,848 and 132,925 is: 205,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848 : 132,925 = 132,925 : x
  2. Step 2: Convert to fraction form
    85,848/132,925 = 132,925/x
  3. Step 3: Cross multiply
    85,848x = 132,925 × 132,925
  4. Step 4: Simplify right side
    85,848x = 17,669,055,625
  5. Step 5: Solve for x
    x = 17,669,055,625/85,848
  6. Step 6: Final answer
    x = 205,817.91

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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.