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Finding the Third Proportional to 383,608 and 843,356

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Solution

The third proportional to 383,608 and 843,356 is: 1,854,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,608 : 843,356 = 843,356 : x
  2. Step 2: Convert to fraction form
    383,608/843,356 = 843,356/x
  3. Step 3: Cross multiply
    383,608x = 843,356 × 843,356
  4. Step 4: Simplify right side
    383,608x = 711,249,342,736
  5. Step 5: Solve for x
    x = 711,249,342,736/383,608
  6. Step 6: Final answer
    x = 1,854,104.56

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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.