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Finding the Third Proportional to 39,786 and 55,772

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Solution

The third proportional to 39,786 and 55,772 is: 78,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 55,772 = 55,772 : x
  2. Step 2: Convert to fraction form
    39,786/55,772 = 55,772/x
  3. Step 3: Cross multiply
    39,786x = 55,772 × 55,772
  4. Step 4: Simplify right side
    39,786x = 3,110,515,984
  5. Step 5: Solve for x
    x = 3,110,515,984/39,786
  6. Step 6: Final answer
    x = 78,181.17

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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.