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Finding the Third Proportional to 38,261 and 82,670

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Solution

The third proportional to 38,261 and 82,670 is: 178,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,261 : 82,670 = 82,670 : x
  2. Step 2: Convert to fraction form
    38,261/82,670 = 82,670/x
  3. Step 3: Cross multiply
    38,261x = 82,670 × 82,670
  4. Step 4: Simplify right side
    38,261x = 6,834,328,900
  5. Step 5: Solve for x
    x = 6,834,328,900/38,261
  6. Step 6: Final answer
    x = 178,623.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.