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Finding the Third Proportional to 31,866 and 68,916

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Solution

The third proportional to 31,866 and 68,916 is: 149,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866 : 68,916 = 68,916 : x
  2. Step 2: Convert to fraction form
    31,866/68,916 = 68,916/x
  3. Step 3: Cross multiply
    31,866x = 68,916 × 68,916
  4. Step 4: Simplify right side
    31,866x = 4,749,415,056
  5. Step 5: Solve for x
    x = 4,749,415,056/31,866
  6. Step 6: Final answer
    x = 149,043.34

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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.