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Finding the Third Proportional to 220,678 and 476,336

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Solution

The third proportional to 220,678 and 476,336 is: 1,028,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,678 : 476,336 = 476,336 : x
  2. Step 2: Convert to fraction form
    220,678/476,336 = 476,336/x
  3. Step 3: Cross multiply
    220,678x = 476,336 × 476,336
  4. Step 4: Simplify right side
    220,678x = 226,895,984,896
  5. Step 5: Solve for x
    x = 226,895,984,896/220,678
  6. Step 6: Final answer
    x = 1,028,176.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.