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Finding the Third Proportional to 219,572.25 and 479,307

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Solution

The third proportional to 219,572.25 and 479,307 is: 1,046,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,572.25 : 479,307 = 479,307 : x
  2. Step 2: Convert to fraction form
    219,572.25/479,307 = 479,307/x
  3. Step 3: Cross multiply
    219,572.25x = 479,307 × 479,307
  4. Step 4: Simplify right side
    219,572.25x = 229,735,200,249
  5. Step 5: Solve for x
    x = 229,735,200,249/219,572.25
  6. Step 6: Final answer
    x = 1,046,285.22

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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.