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Finding the Third Proportional to 137,660 and 203,930

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Solution

The third proportional to 137,660 and 203,930 is: 302,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,660 : 203,930 = 203,930 : x
  2. Step 2: Convert to fraction form
    137,660/203,930 = 203,930/x
  3. Step 3: Cross multiply
    137,660x = 203,930 × 203,930
  4. Step 4: Simplify right side
    137,660x = 41,587,444,900
  5. Step 5: Solve for x
    x = 41,587,444,900/137,660
  6. Step 6: Final answer
    x = 302,102.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.