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Finding the Third Proportional to 297.94 and 641.26

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Solution

The third proportional to 297.94 and 641.26 is: 1,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 641.26 = 641.26 : x
  2. Step 2: Convert to fraction form
    297.94/641.26 = 641.26/x
  3. Step 3: Cross multiply
    297.94x = 641.26 × 641.26
  4. Step 4: Simplify right side
    297.94x = 411,210.02
  5. Step 5: Solve for x
    x = 411,210.02/297.94
  6. Step 6: Final answer
    x = 1,380.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.