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Finding the Third Proportional to 65,120 and 133,696

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Solution

The third proportional to 65,120 and 133,696 is: 274,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120 : 133,696 = 133,696 : x
  2. Step 2: Convert to fraction form
    65,120/133,696 = 133,696/x
  3. Step 3: Cross multiply
    65,120x = 133,696 × 133,696
  4. Step 4: Simplify right side
    65,120x = 17,874,620,416
  5. Step 5: Solve for x
    x = 17,874,620,416/65,120
  6. Step 6: Final answer
    x = 274,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.