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Finding the Third Proportional to 339,491.50 and 737,369

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Solution

The third proportional to 339,491.50 and 737,369 is: 1,601,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,491.50 : 737,369 = 737,369 : x
  2. Step 2: Convert to fraction form
    339,491.50/737,369 = 737,369/x
  3. Step 3: Cross multiply
    339,491.50x = 737,369 × 737,369
  4. Step 4: Simplify right side
    339,491.50x = 543,713,042,161
  5. Step 5: Solve for x
    x = 543,713,042,161/339,491.50
  6. Step 6: Final answer
    x = 1,601,551.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.