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Finding the Third Proportional to 86,763 and 190,131

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Solution

The third proportional to 86,763 and 190,131 is: 416,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,763 : 190,131 = 190,131 : x
  2. Step 2: Convert to fraction form
    86,763/190,131 = 190,131/x
  3. Step 3: Cross multiply
    86,763x = 190,131 × 190,131
  4. Step 4: Simplify right side
    86,763x = 36,149,797,161
  5. Step 5: Solve for x
    x = 36,149,797,161/86,763
  6. Step 6: Final answer
    x = 416,649.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.