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Finding the Third Proportional to 31,686 and 68,286

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Solution

The third proportional to 31,686 and 68,286 is: 147,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686 : 68,286 = 68,286 : x
  2. Step 2: Convert to fraction form
    31,686/68,286 = 68,286/x
  3. Step 3: Cross multiply
    31,686x = 68,286 × 68,286
  4. Step 4: Simplify right side
    31,686x = 4,662,977,796
  5. Step 5: Solve for x
    x = 4,662,977,796/31,686
  6. Step 6: Final answer
    x = 147,162.08

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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.