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Finding the Third Proportional to 339,070 and 496,438

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Solution

The third proportional to 339,070 and 496,438 is: 726,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,070 : 496,438 = 496,438 : x
  2. Step 2: Convert to fraction form
    339,070/496,438 = 496,438/x
  3. Step 3: Cross multiply
    339,070x = 496,438 × 496,438
  4. Step 4: Simplify right side
    339,070x = 246,450,687,844
  5. Step 5: Solve for x
    x = 246,450,687,844/339,070
  6. Step 6: Final answer
    x = 726,843.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.