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Finding the Third Proportional to 71,920 and 146,696

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Solution

The third proportional to 71,920 and 146,696 is: 299,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920 : 146,696 = 146,696 : x
  2. Step 2: Convert to fraction form
    71,920/146,696 = 146,696/x
  3. Step 3: Cross multiply
    71,920x = 146,696 × 146,696
  4. Step 4: Simplify right side
    71,920x = 21,519,716,416
  5. Step 5: Solve for x
    x = 21,519,716,416/71,920
  6. Step 6: Final answer
    x = 299,217.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.