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Finding the Third Proportional to 38,270 and 81,100

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Solution

The third proportional to 38,270 and 81,100 is: 171,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270 : 81,100 = 81,100 : x
  2. Step 2: Convert to fraction form
    38,270/81,100 = 81,100/x
  3. Step 3: Cross multiply
    38,270x = 81,100 × 81,100
  4. Step 4: Simplify right side
    38,270x = 6,577,210,000
  5. Step 5: Solve for x
    x = 6,577,210,000/38,270
  6. Step 6: Final answer
    x = 171,863.34

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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.