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Finding the Third Proportional to 84,920 and 108,912

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Solution

The third proportional to 84,920 and 108,912 is: 139,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920 : 108,912 = 108,912 : x
  2. Step 2: Convert to fraction form
    84,920/108,912 = 108,912/x
  3. Step 3: Cross multiply
    84,920x = 108,912 × 108,912
  4. Step 4: Simplify right side
    84,920x = 11,861,823,744
  5. Step 5: Solve for x
    x = 11,861,823,744/84,920
  6. Step 6: Final answer
    x = 139,682.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.