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Finding the Third Proportional to 39,240 and 83,538

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Solution

The third proportional to 39,240 and 83,538 is: 177,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,240 : 83,538 = 83,538 : x
  2. Step 2: Convert to fraction form
    39,240/83,538 = 83,538/x
  3. Step 3: Cross multiply
    39,240x = 83,538 × 83,538
  4. Step 4: Simplify right side
    39,240x = 6,978,597,444
  5. Step 5: Solve for x
    x = 6,978,597,444/39,240
  6. Step 6: Final answer
    x = 177,843.97

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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.