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Finding the Third Proportional to 31,852 and 68,893

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Solution

The third proportional to 31,852 and 68,893 is: 149,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852 : 68,893 = 68,893 : x
  2. Step 2: Convert to fraction form
    31,852/68,893 = 68,893/x
  3. Step 3: Cross multiply
    31,852x = 68,893 × 68,893
  4. Step 4: Simplify right side
    31,852x = 4,746,245,449
  5. Step 5: Solve for x
    x = 4,746,245,449/31,852
  6. Step 6: Final answer
    x = 149,009.34

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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.