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Finding the Third Proportional to 31,858 and 68,912

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Solution

The third proportional to 31,858 and 68,912 is: 149,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 68,912 = 68,912 : x
  2. Step 2: Convert to fraction form
    31,858/68,912 = 68,912/x
  3. Step 3: Cross multiply
    31,858x = 68,912 × 68,912
  4. Step 4: Simplify right side
    31,858x = 4,748,863,744
  5. Step 5: Solve for x
    x = 4,748,863,744/31,858
  6. Step 6: Final answer
    x = 149,063.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.