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Finding the Third Proportional to 31,746 and 69,183

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Solution

The third proportional to 31,746 and 69,183 is: 150,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746 : 69,183 = 69,183 : x
  2. Step 2: Convert to fraction form
    31,746/69,183 = 69,183/x
  3. Step 3: Cross multiply
    31,746x = 69,183 × 69,183
  4. Step 4: Simplify right side
    31,746x = 4,786,287,489
  5. Step 5: Solve for x
    x = 4,786,287,489/31,746
  6. Step 6: Final answer
    x = 150,768.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.