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Finding the Third Proportional to 300,987 and 412,728.75

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Solution

The third proportional to 300,987 and 412,728.75 is: 565,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,987 : 412,728.75 = 412,728.75 : x
  2. Step 2: Convert to fraction form
    300,987/412,728.75 = 412,728.75/x
  3. Step 3: Cross multiply
    300,987x = 412,728.75 × 412,728.75
  4. Step 4: Simplify right side
    300,987x = 170,345,021,076.56
  5. Step 5: Solve for x
    x = 170,345,021,076.56/300,987
  6. Step 6: Final answer
    x = 565,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.