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Finding the Third Proportional to 81,915 and 173,745

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Solution

The third proportional to 81,915 and 173,745 is: 368,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,915 : 173,745 = 173,745 : x
  2. Step 2: Convert to fraction form
    81,915/173,745 = 173,745/x
  3. Step 3: Cross multiply
    81,915x = 173,745 × 173,745
  4. Step 4: Simplify right side
    81,915x = 30,187,325,025
  5. Step 5: Solve for x
    x = 30,187,325,025/81,915
  6. Step 6: Final answer
    x = 368,520.11

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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.