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Finding the Third Proportional to 19,944 and 31,286

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Solution

The third proportional to 19,944 and 31,286 is: 49,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 31,286 = 31,286 : x
  2. Step 2: Convert to fraction form
    19,944/31,286 = 31,286/x
  3. Step 3: Cross multiply
    19,944x = 31,286 × 31,286
  4. Step 4: Simplify right side
    19,944x = 978,813,796
  5. Step 5: Solve for x
    x = 978,813,796/19,944
  6. Step 6: Final answer
    x = 49,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.