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Finding the Third Proportional to 219,610 and 479,375

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Solution

The third proportional to 219,610 and 479,375 is: 1,046,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,610 : 479,375 = 479,375 : x
  2. Step 2: Convert to fraction form
    219,610/479,375 = 479,375/x
  3. Step 3: Cross multiply
    219,610x = 479,375 × 479,375
  4. Step 4: Simplify right side
    219,610x = 229,800,390,625
  5. Step 5: Solve for x
    x = 229,800,390,625/219,610
  6. Step 6: Final answer
    x = 1,046,402.22

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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.