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Finding the Third Proportional to 31,861 and 68,907

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Solution

The third proportional to 31,861 and 68,907 is: 149,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861 : 68,907 = 68,907 : x
  2. Step 2: Convert to fraction form
    31,861/68,907 = 68,907/x
  3. Step 3: Cross multiply
    31,861x = 68,907 × 68,907
  4. Step 4: Simplify right side
    31,861x = 4,748,174,649
  5. Step 5: Solve for x
    x = 4,748,174,649/31,861
  6. Step 6: Final answer
    x = 149,027.80

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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.