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Finding the Third Proportional to 39,431 and 83,884

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Solution

The third proportional to 39,431 and 83,884 is: 178,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,431 : 83,884 = 83,884 : x
  2. Step 2: Convert to fraction form
    39,431/83,884 = 83,884/x
  3. Step 3: Cross multiply
    39,431x = 83,884 × 83,884
  4. Step 4: Simplify right side
    39,431x = 7,036,525,456
  5. Step 5: Solve for x
    x = 7,036,525,456/39,431
  6. Step 6: Final answer
    x = 178,451.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.