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Finding the Third Proportional to 219,687 and 481,413

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Solution

The third proportional to 219,687 and 481,413 is: 1,054,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,687 : 481,413 = 481,413 : x
  2. Step 2: Convert to fraction form
    219,687/481,413 = 481,413/x
  3. Step 3: Cross multiply
    219,687x = 481,413 × 481,413
  4. Step 4: Simplify right side
    219,687x = 231,758,476,569
  5. Step 5: Solve for x
    x = 231,758,476,569/219,687
  6. Step 6: Final answer
    x = 1,054,948.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.