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Finding the Third Proportional to 220,042 and 330,551

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Solution

The third proportional to 220,042 and 330,551 is: 496,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,042 : 330,551 = 330,551 : x
  2. Step 2: Convert to fraction form
    220,042/330,551 = 330,551/x
  3. Step 3: Cross multiply
    220,042x = 330,551 × 330,551
  4. Step 4: Simplify right side
    220,042x = 109,263,963,601
  5. Step 5: Solve for x
    x = 109,263,963,601/220,042
  6. Step 6: Final answer
    x = 496,559.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.