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Finding the Third Proportional to 31,159 and 68,151

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Solution

The third proportional to 31,159 and 68,151 is: 149,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159 : 68,151 = 68,151 : x
  2. Step 2: Convert to fraction form
    31,159/68,151 = 68,151/x
  3. Step 3: Cross multiply
    31,159x = 68,151 × 68,151
  4. Step 4: Simplify right side
    31,159x = 4,644,558,801
  5. Step 5: Solve for x
    x = 4,644,558,801/31,159
  6. Step 6: Final answer
    x = 149,059.94

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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.