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Finding the Third Proportional to 383,616 and 835,920

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Solution

The third proportional to 383,616 and 835,920 is: 1,821,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,616 : 835,920 = 835,920 : x
  2. Step 2: Convert to fraction form
    383,616/835,920 = 835,920/x
  3. Step 3: Cross multiply
    383,616x = 835,920 × 835,920
  4. Step 4: Simplify right side
    383,616x = 698,762,246,400
  5. Step 5: Solve for x
    x = 698,762,246,400/383,616
  6. Step 6: Final answer
    x = 1,821,514.86

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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.