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Finding the Third Proportional to 39,871 and 61,696

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Solution

The third proportional to 39,871 and 61,696 is: 95,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,871 : 61,696 = 61,696 : x
  2. Step 2: Convert to fraction form
    39,871/61,696 = 61,696/x
  3. Step 3: Cross multiply
    39,871x = 61,696 × 61,696
  4. Step 4: Simplify right side
    39,871x = 3,806,396,416
  5. Step 5: Solve for x
    x = 3,806,396,416/39,871
  6. Step 6: Final answer
    x = 95,467.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.