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Finding the Third Proportional to 81,894 and 173,670

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Solution

The third proportional to 81,894 and 173,670 is: 368,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894 : 173,670 = 173,670 : x
  2. Step 2: Convert to fraction form
    81,894/173,670 = 173,670/x
  3. Step 3: Cross multiply
    81,894x = 173,670 × 173,670
  4. Step 4: Simplify right side
    81,894x = 30,161,268,900
  5. Step 5: Solve for x
    x = 30,161,268,900/81,894
  6. Step 6: Final answer
    x = 368,296.44

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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.