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Finding the Third Proportional to 299,733.75 and 641,979

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Solution

The third proportional to 299,733.75 and 641,979 is: 1,375,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,733.75 : 641,979 = 641,979 : x
  2. Step 2: Convert to fraction form
    299,733.75/641,979 = 641,979/x
  3. Step 3: Cross multiply
    299,733.75x = 641,979 × 641,979
  4. Step 4: Simplify right side
    299,733.75x = 412,137,036,441
  5. Step 5: Solve for x
    x = 412,137,036,441/299,733.75
  6. Step 6: Final answer
    x = 1,375,010.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.