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Finding the Third Proportional to 219,600 and 479,356

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Solution

The third proportional to 219,600 and 479,356 is: 1,046,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,600 : 479,356 = 479,356 : x
  2. Step 2: Convert to fraction form
    219,600/479,356 = 479,356/x
  3. Step 3: Cross multiply
    219,600x = 479,356 × 479,356
  4. Step 4: Simplify right side
    219,600x = 229,782,174,736
  5. Step 5: Solve for x
    x = 229,782,174,736/219,600
  6. Step 6: Final answer
    x = 1,046,366.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.