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Finding the Third Proportional to 39,842 and 55,838

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Solution

The third proportional to 39,842 and 55,838 is: 78,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842 : 55,838 = 55,838 : x
  2. Step 2: Convert to fraction form
    39,842/55,838 = 55,838/x
  3. Step 3: Cross multiply
    39,842x = 55,838 × 55,838
  4. Step 4: Simplify right side
    39,842x = 3,117,882,244
  5. Step 5: Solve for x
    x = 3,117,882,244/39,842
  6. Step 6: Final answer
    x = 78,256.17

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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.