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Finding the Third Proportional to 297,669 and 641,994

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Solution

The third proportional to 297,669 and 641,994 is: 1,384,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,669 : 641,994 = 641,994 : x
  2. Step 2: Convert to fraction form
    297,669/641,994 = 641,994/x
  3. Step 3: Cross multiply
    297,669x = 641,994 × 641,994
  4. Step 4: Simplify right side
    297,669x = 412,156,296,036
  5. Step 5: Solve for x
    x = 412,156,296,036/297,669
  6. Step 6: Final answer
    x = 1,384,612.76

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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.