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Finding the Third Proportional to 446.25 and 786.75

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Solution

The third proportional to 446.25 and 786.75 is: 1,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.25 : 786.75 = 786.75 : x
  2. Step 2: Convert to fraction form
    446.25/786.75 = 786.75/x
  3. Step 3: Cross multiply
    446.25x = 786.75 × 786.75
  4. Step 4: Simplify right side
    446.25x = 618,975.56
  5. Step 5: Solve for x
    x = 618,975.56/446.25
  6. Step 6: Final answer
    x = 1,387.06

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.