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Finding the Third Proportional to 353,729 and 763,477

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Solution

The third proportional to 353,729 and 763,477 is: 1,647,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,729 : 763,477 = 763,477 : x
  2. Step 2: Convert to fraction form
    353,729/763,477 = 763,477/x
  3. Step 3: Cross multiply
    353,729x = 763,477 × 763,477
  4. Step 4: Simplify right side
    353,729x = 582,897,129,529
  5. Step 5: Solve for x
    x = 582,897,129,529/353,729
  6. Step 6: Final answer
    x = 1,647,863.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.