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Finding the Third Proportional to 31,586 and 69,115

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Solution

The third proportional to 31,586 and 69,115 is: 151,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586 : 69,115 = 69,115 : x
  2. Step 2: Convert to fraction form
    31,586/69,115 = 69,115/x
  3. Step 3: Cross multiply
    31,586x = 69,115 × 69,115
  4. Step 4: Simplify right side
    31,586x = 4,776,883,225
  5. Step 5: Solve for x
    x = 4,776,883,225/31,586
  6. Step 6: Final answer
    x = 151,234.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.