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Finding the Third Proportional to 59,978 and 129,183

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Solution

The third proportional to 59,978 and 129,183 is: 278,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,978 : 129,183 = 129,183 : x
  2. Step 2: Convert to fraction form
    59,978/129,183 = 129,183/x
  3. Step 3: Cross multiply
    59,978x = 129,183 × 129,183
  4. Step 4: Simplify right side
    59,978x = 16,688,247,489
  5. Step 5: Solve for x
    x = 16,688,247,489/59,978
  6. Step 6: Final answer
    x = 278,239.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.