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Finding the Third Proportional to 339,449 and 706,789

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Solution

The third proportional to 339,449 and 706,789 is: 1,471,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,449 : 706,789 = 706,789 : x
  2. Step 2: Convert to fraction form
    339,449/706,789 = 706,789/x
  3. Step 3: Cross multiply
    339,449x = 706,789 × 706,789
  4. Step 4: Simplify right side
    339,449x = 499,550,690,521
  5. Step 5: Solve for x
    x = 499,550,690,521/339,449
  6. Step 6: Final answer
    x = 1,471,651.68

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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.