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Finding the Third Proportional to 39,397 and 82,118

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Solution

The third proportional to 39,397 and 82,118 is: 171,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 82,118 = 82,118 : x
  2. Step 2: Convert to fraction form
    39,397/82,118 = 82,118/x
  3. Step 3: Cross multiply
    39,397x = 82,118 × 82,118
  4. Step 4: Simplify right side
    39,397x = 6,743,365,924
  5. Step 5: Solve for x
    x = 6,743,365,924/39,397
  6. Step 6: Final answer
    x = 171,164.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.