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Finding the Third Proportional to 457.21 and 997.37

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Solution

The third proportional to 457.21 and 997.37 is: 2,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 997.37 = 997.37 : x
  2. Step 2: Convert to fraction form
    457.21/997.37 = 997.37/x
  3. Step 3: Cross multiply
    457.21x = 997.37 × 997.37
  4. Step 4: Simplify right side
    457.21x = 994,737.41
  5. Step 5: Solve for x
    x = 994,737.41/457.21
  6. Step 6: Final answer
    x = 2,175.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.