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Finding the Third Proportional to 219,978 and 481,986

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Solution

The third proportional to 219,978 and 481,986 is: 1,056,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978 : 481,986 = 481,986 : x
  2. Step 2: Convert to fraction form
    219,978/481,986 = 481,986/x
  3. Step 3: Cross multiply
    219,978x = 481,986 × 481,986
  4. Step 4: Simplify right side
    219,978x = 232,310,504,196
  5. Step 5: Solve for x
    x = 232,310,504,196/219,978
  6. Step 6: Final answer
    x = 1,056,062.44

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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.