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Finding the Third Proportional to 39,312 and 82,269

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Solution

The third proportional to 39,312 and 82,269 is: 172,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 82,269 = 82,269 : x
  2. Step 2: Convert to fraction form
    39,312/82,269 = 82,269/x
  3. Step 3: Cross multiply
    39,312x = 82,269 × 82,269
  4. Step 4: Simplify right side
    39,312x = 6,768,188,361
  5. Step 5: Solve for x
    x = 6,768,188,361/39,312
  6. Step 6: Final answer
    x = 172,165.96

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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.