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Finding the Third Proportional to 339,508 and 739,888

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Solution

The third proportional to 339,508 and 739,888 is: 1,612,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,508 : 739,888 = 739,888 : x
  2. Step 2: Convert to fraction form
    339,508/739,888 = 739,888/x
  3. Step 3: Cross multiply
    339,508x = 739,888 × 739,888
  4. Step 4: Simplify right side
    339,508x = 547,434,252,544
  5. Step 5: Solve for x
    x = 547,434,252,544/339,508
  6. Step 6: Final answer
    x = 1,612,434.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.