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Finding the Third Proportional to 31,635 and 69,099.75

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Solution

The third proportional to 31,635 and 69,099.75 is: 150,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635 : 69,099.75 = 69,099.75 : x
  2. Step 2: Convert to fraction form
    31,635/69,099.75 = 69,099.75/x
  3. Step 3: Cross multiply
    31,635x = 69,099.75 × 69,099.75
  4. Step 4: Simplify right side
    31,635x = 4,774,775,450.06
  5. Step 5: Solve for x
    x = 4,774,775,450.06/31,635
  6. Step 6: Final answer
    x = 150,933.32

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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.