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Finding the Third Proportional to 39,313 and 82,271

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Solution

The third proportional to 39,313 and 82,271 is: 172,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,313 : 82,271 = 82,271 : x
  2. Step 2: Convert to fraction form
    39,313/82,271 = 82,271/x
  3. Step 3: Cross multiply
    39,313x = 82,271 × 82,271
  4. Step 4: Simplify right side
    39,313x = 6,768,517,441
  5. Step 5: Solve for x
    x = 6,768,517,441/39,313
  6. Step 6: Final answer
    x = 172,169.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.