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Finding the Third Proportional to 38,329 and 82,487

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Solution

The third proportional to 38,329 and 82,487 is: 177,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,329 : 82,487 = 82,487 : x
  2. Step 2: Convert to fraction form
    38,329/82,487 = 82,487/x
  3. Step 3: Cross multiply
    38,329x = 82,487 × 82,487
  4. Step 4: Simplify right side
    38,329x = 6,804,105,169
  5. Step 5: Solve for x
    x = 6,804,105,169/38,329
  6. Step 6: Final answer
    x = 177,518.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.