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Finding the Third Proportional to 133,098 and 202,187

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Solution

The third proportional to 133,098 and 202,187 is: 307,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 202,187 = 202,187 : x
  2. Step 2: Convert to fraction form
    133,098/202,187 = 202,187/x
  3. Step 3: Cross multiply
    133,098x = 202,187 × 202,187
  4. Step 4: Simplify right side
    133,098x = 40,879,582,969
  5. Step 5: Solve for x
    x = 40,879,582,969/133,098
  6. Step 6: Final answer
    x = 307,138.97

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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.