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Finding the Third Proportional to 38,284 and 81,208

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Solution

The third proportional to 38,284 and 81,208 is: 172,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284 : 81,208 = 81,208 : x
  2. Step 2: Convert to fraction form
    38,284/81,208 = 81,208/x
  3. Step 3: Cross multiply
    38,284x = 81,208 × 81,208
  4. Step 4: Simplify right side
    38,284x = 6,594,739,264
  5. Step 5: Solve for x
    x = 6,594,739,264/38,284
  6. Step 6: Final answer
    x = 172,258.37

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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.