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Finding the Third Proportional to 339,456 and 706,788

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Solution

The third proportional to 339,456 and 706,788 is: 1,471,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,456 : 706,788 = 706,788 : x
  2. Step 2: Convert to fraction form
    339,456/706,788 = 706,788/x
  3. Step 3: Cross multiply
    339,456x = 706,788 × 706,788
  4. Step 4: Simplify right side
    339,456x = 499,549,276,944
  5. Step 5: Solve for x
    x = 499,549,276,944/339,456
  6. Step 6: Final answer
    x = 1,471,617.17

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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.