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Finding the Third Proportional to 37,640 and 81,764

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Solution

The third proportional to 37,640 and 81,764 is: 177,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640 : 81,764 = 81,764 : x
  2. Step 2: Convert to fraction form
    37,640/81,764 = 81,764/x
  3. Step 3: Cross multiply
    37,640x = 81,764 × 81,764
  4. Step 4: Simplify right side
    37,640x = 6,685,351,696
  5. Step 5: Solve for x
    x = 6,685,351,696/37,640
  6. Step 6: Final answer
    x = 177,612.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.