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Finding the Third Proportional to 299,628 and 641,901

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Solution

The third proportional to 299,628 and 641,901 is: 1,375,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,628 : 641,901 = 641,901 : x
  2. Step 2: Convert to fraction form
    299,628/641,901 = 641,901/x
  3. Step 3: Cross multiply
    299,628x = 641,901 × 641,901
  4. Step 4: Simplify right side
    299,628x = 412,036,893,801
  5. Step 5: Solve for x
    x = 412,036,893,801/299,628
  6. Step 6: Final answer
    x = 1,375,161.51

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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.