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Finding the Third Proportional to 71,941 and 108,915

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Solution

The third proportional to 71,941 and 108,915 is: 164,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,941 : 108,915 = 108,915 : x
  2. Step 2: Convert to fraction form
    71,941/108,915 = 108,915/x
  3. Step 3: Cross multiply
    71,941x = 108,915 × 108,915
  4. Step 4: Simplify right side
    71,941x = 11,862,477,225
  5. Step 5: Solve for x
    x = 11,862,477,225/71,941
  6. Step 6: Final answer
    x = 164,891.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.