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Finding the Third Proportional to 39,022 and 82,905

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Solution

The third proportional to 39,022 and 82,905 is: 176,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022 : 82,905 = 82,905 : x
  2. Step 2: Convert to fraction form
    39,022/82,905 = 82,905/x
  3. Step 3: Cross multiply
    39,022x = 82,905 × 82,905
  4. Step 4: Simplify right side
    39,022x = 6,873,239,025
  5. Step 5: Solve for x
    x = 6,873,239,025/39,022
  6. Step 6: Final answer
    x = 176,137.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.