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Finding the Third Proportional to 39,785 and 55,771

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Solution

The third proportional to 39,785 and 55,771 is: 78,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785 : 55,771 = 55,771 : x
  2. Step 2: Convert to fraction form
    39,785/55,771 = 55,771/x
  3. Step 3: Cross multiply
    39,785x = 55,771 × 55,771
  4. Step 4: Simplify right side
    39,785x = 3,110,404,441
  5. Step 5: Solve for x
    x = 3,110,404,441/39,785
  6. Step 6: Final answer
    x = 78,180.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.