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Finding the Third Proportional to 31,177 and 66,248

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Solution

The third proportional to 31,177 and 66,248 is: 140,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177 : 66,248 = 66,248 : x
  2. Step 2: Convert to fraction form
    31,177/66,248 = 66,248/x
  3. Step 3: Cross multiply
    31,177x = 66,248 × 66,248
  4. Step 4: Simplify right side
    31,177x = 4,388,797,504
  5. Step 5: Solve for x
    x = 4,388,797,504/31,177
  6. Step 6: Final answer
    x = 140,770.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.