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Finding the Third Proportional to 220,629 and 481,717

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Solution

The third proportional to 220,629 and 481,717 is: 1,051,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,629 : 481,717 = 481,717 : x
  2. Step 2: Convert to fraction form
    220,629/481,717 = 481,717/x
  3. Step 3: Cross multiply
    220,629x = 481,717 × 481,717
  4. Step 4: Simplify right side
    220,629x = 232,051,268,089
  5. Step 5: Solve for x
    x = 232,051,268,089/220,629
  6. Step 6: Final answer
    x = 1,051,771.38

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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.