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Finding the Third Proportional to 39,786 and 55,773

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Solution

The third proportional to 39,786 and 55,773 is: 78,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 55,773 = 55,773 : x
  2. Step 2: Convert to fraction form
    39,786/55,773 = 55,773/x
  3. Step 3: Cross multiply
    39,786x = 55,773 × 55,773
  4. Step 4: Simplify right side
    39,786x = 3,110,627,529
  5. Step 5: Solve for x
    x = 3,110,627,529/39,786
  6. Step 6: Final answer
    x = 78,183.97

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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.