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Finding the Third Proportional to 38,324 and 82,480

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Solution

The third proportional to 38,324 and 82,480 is: 177,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 82,480 = 82,480 : x
  2. Step 2: Convert to fraction form
    38,324/82,480 = 82,480/x
  3. Step 3: Cross multiply
    38,324x = 82,480 × 82,480
  4. Step 4: Simplify right side
    38,324x = 6,802,950,400
  5. Step 5: Solve for x
    x = 6,802,950,400/38,324
  6. Step 6: Final answer
    x = 177,511.49

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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.