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Finding the Third Proportional to 39,629 and 82,579

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Solution

The third proportional to 39,629 and 82,579 is: 172,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,629 : 82,579 = 82,579 : x
  2. Step 2: Convert to fraction form
    39,629/82,579 = 82,579/x
  3. Step 3: Cross multiply
    39,629x = 82,579 × 82,579
  4. Step 4: Simplify right side
    39,629x = 6,819,291,241
  5. Step 5: Solve for x
    x = 6,819,291,241/39,629
  6. Step 6: Final answer
    x = 172,078.31

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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.