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Finding the Third Proportional to 297.21 and 704.21

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Solution

The third proportional to 297.21 and 704.21 is: 1,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 704.21 = 704.21 : x
  2. Step 2: Convert to fraction form
    297.21/704.21 = 704.21/x
  3. Step 3: Cross multiply
    297.21x = 704.21 × 704.21
  4. Step 4: Simplify right side
    297.21x = 495,918.55
  5. Step 5: Solve for x
    x = 495,918.55/297.21
  6. Step 6: Final answer
    x = 1,668.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.