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Finding the Third Proportional to 132,938 and 202,142

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Solution

The third proportional to 132,938 and 202,142 is: 307,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,938 : 202,142 = 202,142 : x
  2. Step 2: Convert to fraction form
    132,938/202,142 = 202,142/x
  3. Step 3: Cross multiply
    132,938x = 202,142 × 202,142
  4. Step 4: Simplify right side
    132,938x = 40,861,388,164
  5. Step 5: Solve for x
    x = 40,861,388,164/132,938
  6. Step 6: Final answer
    x = 307,371.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.