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Finding the Third Proportional to 19,971 and 31,326

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Solution

The third proportional to 19,971 and 31,326 is: 49,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 31,326 = 31,326 : x
  2. Step 2: Convert to fraction form
    19,971/31,326 = 31,326/x
  3. Step 3: Cross multiply
    19,971x = 31,326 × 31,326
  4. Step 4: Simplify right side
    19,971x = 981,318,276
  5. Step 5: Solve for x
    x = 981,318,276/19,971
  6. Step 6: Final answer
    x = 49,137.16

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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.