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Finding the Third Proportional to 389,626 and 835,344

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Solution

The third proportional to 389,626 and 835,344 is: 1,790,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,626 : 835,344 = 835,344 : x
  2. Step 2: Convert to fraction form
    389,626/835,344 = 835,344/x
  3. Step 3: Cross multiply
    389,626x = 835,344 × 835,344
  4. Step 4: Simplify right side
    389,626x = 697,799,598,336
  5. Step 5: Solve for x
    x = 697,799,598,336/389,626
  6. Step 6: Final answer
    x = 1,790,947.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.