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Finding the Third Proportional to 31,753 and 68,852

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Solution

The third proportional to 31,753 and 68,852 is: 149,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753 : 68,852 = 68,852 : x
  2. Step 2: Convert to fraction form
    31,753/68,852 = 68,852/x
  3. Step 3: Cross multiply
    31,753x = 68,852 × 68,852
  4. Step 4: Simplify right side
    31,753x = 4,740,597,904
  5. Step 5: Solve for x
    x = 4,740,597,904/31,753
  6. Step 6: Final answer
    x = 149,296.06

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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.