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Finding the Third Proportional to 285,729.75 and 627,865.88

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Solution

The third proportional to 285,729.75 and 627,865.88 is: 1,379,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,729.75 : 627,865.88 = 627,865.88 : x
  2. Step 2: Convert to fraction form
    285,729.75/627,865.88 = 627,865.88/x
  3. Step 3: Cross multiply
    285,729.75x = 627,865.88 × 627,865.88
  4. Step 4: Simplify right side
    285,729.75x = 394,215,556,989.52
  5. Step 5: Solve for x
    x = 394,215,556,989.52/285,729.75
  6. Step 6: Final answer
    x = 1,379,679.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.