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Finding the Third Proportional to 30,474 and 66,644

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Solution

The third proportional to 30,474 and 66,644 is: 145,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474 : 66,644 = 66,644 : x
  2. Step 2: Convert to fraction form
    30,474/66,644 = 66,644/x
  3. Step 3: Cross multiply
    30,474x = 66,644 × 66,644
  4. Step 4: Simplify right side
    30,474x = 4,441,422,736
  5. Step 5: Solve for x
    x = 4,441,422,736/30,474
  6. Step 6: Final answer
    x = 145,744.66

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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.