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Finding the Third Proportional to 38,390 and 80,976

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Solution

The third proportional to 38,390 and 80,976 is: 170,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390 : 80,976 = 80,976 : x
  2. Step 2: Convert to fraction form
    38,390/80,976 = 80,976/x
  3. Step 3: Cross multiply
    38,390x = 80,976 × 80,976
  4. Step 4: Simplify right side
    38,390x = 6,557,112,576
  5. Step 5: Solve for x
    x = 6,557,112,576/38,390
  6. Step 6: Final answer
    x = 170,802.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.