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Finding the Third Proportional to 30,409 and 66,812

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Solution

The third proportional to 30,409 and 66,812 is: 146,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409 : 66,812 = 66,812 : x
  2. Step 2: Convert to fraction form
    30,409/66,812 = 66,812/x
  3. Step 3: Cross multiply
    30,409x = 66,812 × 66,812
  4. Step 4: Simplify right side
    30,409x = 4,463,843,344
  5. Step 5: Solve for x
    x = 4,463,843,344/30,409
  6. Step 6: Final answer
    x = 146,793.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.