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Finding the Third Proportional to 220,631 and 481,721

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Solution

The third proportional to 220,631 and 481,721 is: 1,051,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,631 : 481,721 = 481,721 : x
  2. Step 2: Convert to fraction form
    220,631/481,721 = 481,721/x
  3. Step 3: Cross multiply
    220,631x = 481,721 × 481,721
  4. Step 4: Simplify right side
    220,631x = 232,055,121,841
  5. Step 5: Solve for x
    x = 232,055,121,841/220,631
  6. Step 6: Final answer
    x = 1,051,779.31

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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.