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Finding the Third Proportional to 339,813 and 475,399

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Solution

The third proportional to 339,813 and 475,399 is: 665,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,813 : 475,399 = 475,399 : x
  2. Step 2: Convert to fraction form
    339,813/475,399 = 475,399/x
  3. Step 3: Cross multiply
    339,813x = 475,399 × 475,399
  4. Step 4: Simplify right side
    339,813x = 226,004,209,201
  5. Step 5: Solve for x
    x = 226,004,209,201/339,813
  6. Step 6: Final answer
    x = 665,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.