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Finding the Third Proportional to 339,766 and 476,280

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Solution

The third proportional to 339,766 and 476,280 is: 667,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,766 : 476,280 = 476,280 : x
  2. Step 2: Convert to fraction form
    339,766/476,280 = 476,280/x
  3. Step 3: Cross multiply
    339,766x = 476,280 × 476,280
  4. Step 4: Simplify right side
    339,766x = 226,842,638,400
  5. Step 5: Solve for x
    x = 226,842,638,400/339,766
  6. Step 6: Final answer
    x = 667,643.73

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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.