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Finding the Third Proportional to 39,786 and 53,843

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Solution

The third proportional to 39,786 and 53,843 is: 72,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 53,843 = 53,843 : x
  2. Step 2: Convert to fraction form
    39,786/53,843 = 53,843/x
  3. Step 3: Cross multiply
    39,786x = 53,843 × 53,843
  4. Step 4: Simplify right side
    39,786x = 2,899,068,649
  5. Step 5: Solve for x
    x = 2,899,068,649/39,786
  6. Step 6: Final answer
    x = 72,866.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.