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Finding the Third Proportional to 39,782 and 55,767

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Solution

The third proportional to 39,782 and 55,767 is: 78,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782 : 55,767 = 55,767 : x
  2. Step 2: Convert to fraction form
    39,782/55,767 = 55,767/x
  3. Step 3: Cross multiply
    39,782x = 55,767 × 55,767
  4. Step 4: Simplify right side
    39,782x = 3,109,958,289
  5. Step 5: Solve for x
    x = 3,109,958,289/39,782
  6. Step 6: Final answer
    x = 78,175.01

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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.