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Finding the Third Proportional to 297,184 and 641,744

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Solution

The third proportional to 297,184 and 641,744 is: 1,385,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,184 : 641,744 = 641,744 : x
  2. Step 2: Convert to fraction form
    297,184/641,744 = 641,744/x
  3. Step 3: Cross multiply
    297,184x = 641,744 × 641,744
  4. Step 4: Simplify right side
    297,184x = 411,835,361,536
  5. Step 5: Solve for x
    x = 411,835,361,536/297,184
  6. Step 6: Final answer
    x = 1,385,792.51

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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.