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Finding the Third Proportional to 220,039 and 330,545

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Solution

The third proportional to 220,039 and 330,545 is: 496,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,039 : 330,545 = 330,545 : x
  2. Step 2: Convert to fraction form
    220,039/330,545 = 330,545/x
  3. Step 3: Cross multiply
    220,039x = 330,545 × 330,545
  4. Step 4: Simplify right side
    220,039x = 109,259,997,025
  5. Step 5: Solve for x
    x = 109,259,997,025/220,039
  6. Step 6: Final answer
    x = 496,548.33

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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.