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Finding the Third Proportional to 31,514 and 68,110

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Solution

The third proportional to 31,514 and 68,110 is: 147,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514 : 68,110 = 68,110 : x
  2. Step 2: Convert to fraction form
    31,514/68,110 = 68,110/x
  3. Step 3: Cross multiply
    31,514x = 68,110 × 68,110
  4. Step 4: Simplify right side
    31,514x = 4,638,972,100
  5. Step 5: Solve for x
    x = 4,638,972,100/31,514
  6. Step 6: Final answer
    x = 147,203.53

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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.