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Finding the Third Proportional to 380,584.50 and 828,975

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Solution

The third proportional to 380,584.50 and 828,975 is: 1,805,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,584.50 : 828,975 = 828,975 : x
  2. Step 2: Convert to fraction form
    380,584.50/828,975 = 828,975/x
  3. Step 3: Cross multiply
    380,584.50x = 828,975 × 828,975
  4. Step 4: Simplify right side
    380,584.50x = 687,199,550,625
  5. Step 5: Solve for x
    x = 687,199,550,625/380,584.50
  6. Step 6: Final answer
    x = 1,805,642.51

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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.