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Finding the Third Proportional to 31,652 and 68,696

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Solution

The third proportional to 31,652 and 68,696 is: 149,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652 : 68,696 = 68,696 : x
  2. Step 2: Convert to fraction form
    31,652/68,696 = 68,696/x
  3. Step 3: Cross multiply
    31,652x = 68,696 × 68,696
  4. Step 4: Simplify right side
    31,652x = 4,719,140,416
  5. Step 5: Solve for x
    x = 4,719,140,416/31,652
  6. Step 6: Final answer
    x = 149,094.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.