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Finding the Third Proportional to 39,838 and 55,832

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Solution

The third proportional to 39,838 and 55,832 is: 78,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,838 : 55,832 = 55,832 : x
  2. Step 2: Convert to fraction form
    39,838/55,832 = 55,832/x
  3. Step 3: Cross multiply
    39,838x = 55,832 × 55,832
  4. Step 4: Simplify right side
    39,838x = 3,117,212,224
  5. Step 5: Solve for x
    x = 3,117,212,224/39,838
  6. Step 6: Final answer
    x = 78,247.21

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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.