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Finding the Third Proportional to 39,683 and 82,654

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Solution

The third proportional to 39,683 and 82,654 is: 172,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,683 : 82,654 = 82,654 : x
  2. Step 2: Convert to fraction form
    39,683/82,654 = 82,654/x
  3. Step 3: Cross multiply
    39,683x = 82,654 × 82,654
  4. Step 4: Simplify right side
    39,683x = 6,831,683,716
  5. Step 5: Solve for x
    x = 6,831,683,716/39,683
  6. Step 6: Final answer
    x = 172,156.43

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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.