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Finding the Third Proportional to 31,098 and 68,027

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Solution

The third proportional to 31,098 and 68,027 is: 148,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098 : 68,027 = 68,027 : x
  2. Step 2: Convert to fraction form
    31,098/68,027 = 68,027/x
  3. Step 3: Cross multiply
    31,098x = 68,027 × 68,027
  4. Step 4: Simplify right side
    31,098x = 4,627,672,729
  5. Step 5: Solve for x
    x = 4,627,672,729/31,098
  6. Step 6: Final answer
    x = 148,809.34

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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.