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Finding the Third Proportional to 38,262 and 81,080

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Solution

The third proportional to 38,262 and 81,080 is: 171,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262 : 81,080 = 81,080 : x
  2. Step 2: Convert to fraction form
    38,262/81,080 = 81,080/x
  3. Step 3: Cross multiply
    38,262x = 81,080 × 81,080
  4. Step 4: Simplify right side
    38,262x = 6,573,966,400
  5. Step 5: Solve for x
    x = 6,573,966,400/38,262
  6. Step 6: Final answer
    x = 171,814.50

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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.