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Finding the Third Proportional to 220,426 and 329,782

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Solution

The third proportional to 220,426 and 329,782 is: 493,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,426 : 329,782 = 329,782 : x
  2. Step 2: Convert to fraction form
    220,426/329,782 = 329,782/x
  3. Step 3: Cross multiply
    220,426x = 329,782 × 329,782
  4. Step 4: Simplify right side
    220,426x = 108,756,167,524
  5. Step 5: Solve for x
    x = 108,756,167,524/220,426
  6. Step 6: Final answer
    x = 493,390.83

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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.