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Finding the Third Proportional to 178,920 and 276,696

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Solution

The third proportional to 178,920 and 276,696 is: 427,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 276,696 = 276,696 : x
  2. Step 2: Convert to fraction form
    178,920/276,696 = 276,696/x
  3. Step 3: Cross multiply
    178,920x = 276,696 × 276,696
  4. Step 4: Simplify right side
    178,920x = 76,560,676,416
  5. Step 5: Solve for x
    x = 76,560,676,416/178,920
  6. Step 6: Final answer
    x = 427,904.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.