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Finding the Third Proportional to 132,940 and 202,145

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Solution

The third proportional to 132,940 and 202,145 is: 307,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,940 : 202,145 = 202,145 : x
  2. Step 2: Convert to fraction form
    132,940/202,145 = 202,145/x
  3. Step 3: Cross multiply
    132,940x = 202,145 × 202,145
  4. Step 4: Simplify right side
    132,940x = 40,862,601,025
  5. Step 5: Solve for x
    x = 40,862,601,025/132,940
  6. Step 6: Final answer
    x = 307,376.27

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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.