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Finding the Third Proportional to 297,644 and 641,938

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Solution

The third proportional to 297,644 and 641,938 is: 1,384,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644 : 641,938 = 641,938 : x
  2. Step 2: Convert to fraction form
    297,644/641,938 = 641,938/x
  3. Step 3: Cross multiply
    297,644x = 641,938 × 641,938
  4. Step 4: Simplify right side
    297,644x = 412,084,395,844
  5. Step 5: Solve for x
    x = 412,084,395,844/297,644
  6. Step 6: Final answer
    x = 1,384,487.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.