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Finding the Third Proportional to 66,420 and 100,116

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Solution

The third proportional to 66,420 and 100,116 is: 150,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,420 : 100,116 = 100,116 : x
  2. Step 2: Convert to fraction form
    66,420/100,116 = 100,116/x
  3. Step 3: Cross multiply
    66,420x = 100,116 × 100,116
  4. Step 4: Simplify right side
    66,420x = 10,023,213,456
  5. Step 5: Solve for x
    x = 10,023,213,456/66,420
  6. Step 6: Final answer
    x = 150,906.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.