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Finding the Third Proportional to 237,435 and 339,509

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Solution

The third proportional to 237,435 and 339,509 is: 485,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,435 : 339,509 = 339,509 : x
  2. Step 2: Convert to fraction form
    237,435/339,509 = 339,509/x
  3. Step 3: Cross multiply
    237,435x = 339,509 × 339,509
  4. Step 4: Simplify right side
    237,435x = 115,266,361,081
  5. Step 5: Solve for x
    x = 115,266,361,081/237,435
  6. Step 6: Final answer
    x = 485,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.