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Finding the Third Proportional to 389,853 and 810,351

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Solution

The third proportional to 389,853 and 810,351 is: 1,684,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,853 : 810,351 = 810,351 : x
  2. Step 2: Convert to fraction form
    389,853/810,351 = 810,351/x
  3. Step 3: Cross multiply
    389,853x = 810,351 × 810,351
  4. Step 4: Simplify right side
    389,853x = 656,668,743,201
  5. Step 5: Solve for x
    x = 656,668,743,201/389,853
  6. Step 6: Final answer
    x = 1,684,400.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.