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Finding the Third Proportional to 132,183 and 212,785.50

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Solution

The third proportional to 132,183 and 212,785.50 is: 342,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,183 : 212,785.50 = 212,785.50 : x
  2. Step 2: Convert to fraction form
    132,183/212,785.50 = 212,785.50/x
  3. Step 3: Cross multiply
    132,183x = 212,785.50 × 212,785.50
  4. Step 4: Simplify right side
    132,183x = 45,277,669,010.25
  5. Step 5: Solve for x
    x = 45,277,669,010.25/132,183
  6. Step 6: Final answer
    x = 342,537.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.