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Finding the Third Proportional to 38,976 and 83,270

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Solution

The third proportional to 38,976 and 83,270 is: 177,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 83,270 = 83,270 : x
  2. Step 2: Convert to fraction form
    38,976/83,270 = 83,270/x
  3. Step 3: Cross multiply
    38,976x = 83,270 × 83,270
  4. Step 4: Simplify right side
    38,976x = 6,933,892,900
  5. Step 5: Solve for x
    x = 6,933,892,900/38,976
  6. Step 6: Final answer
    x = 177,901.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.