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Finding the Third Proportional to 389,286 and 844,668

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Solution

The third proportional to 389,286 and 844,668 is: 1,832,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,286 : 844,668 = 844,668 : x
  2. Step 2: Convert to fraction form
    389,286/844,668 = 844,668/x
  3. Step 3: Cross multiply
    389,286x = 844,668 × 844,668
  4. Step 4: Simplify right side
    389,286x = 713,464,030,224
  5. Step 5: Solve for x
    x = 713,464,030,224/389,286
  6. Step 6: Final answer
    x = 1,832,750.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.