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Finding the Third Proportional to 219,531 and 478,843

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Solution

The third proportional to 219,531 and 478,843 is: 1,044,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531 : 478,843 = 478,843 : x
  2. Step 2: Convert to fraction form
    219,531/478,843 = 478,843/x
  3. Step 3: Cross multiply
    219,531x = 478,843 × 478,843
  4. Step 4: Simplify right side
    219,531x = 229,290,618,649
  5. Step 5: Solve for x
    x = 229,290,618,649/219,531
  6. Step 6: Final answer
    x = 1,044,456.68

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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.