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Finding the Third Proportional to 219,603 and 479,361

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Solution

The third proportional to 219,603 and 479,361 is: 1,046,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,603 : 479,361 = 479,361 : x
  2. Step 2: Convert to fraction form
    219,603/479,361 = 479,361/x
  3. Step 3: Cross multiply
    219,603x = 479,361 × 479,361
  4. Step 4: Simplify right side
    219,603x = 229,786,968,321
  5. Step 5: Solve for x
    x = 229,786,968,321/219,603
  6. Step 6: Final answer
    x = 1,046,374.45

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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.