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Finding the Third Proportional to 300,067 and 424,580

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Solution

The third proportional to 300,067 and 424,580 is: 600,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,067 : 424,580 = 424,580 : x
  2. Step 2: Convert to fraction form
    300,067/424,580 = 424,580/x
  3. Step 3: Cross multiply
    300,067x = 424,580 × 424,580
  4. Step 4: Simplify right side
    300,067x = 180,268,176,400
  5. Step 5: Solve for x
    x = 180,268,176,400/300,067
  6. Step 6: Final answer
    x = 600,759.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.