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Finding the Third Proportional to 299.53 and 457.31

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Solution

The third proportional to 299.53 and 457.31 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 457.31 = 457.31 : x
  2. Step 2: Convert to fraction form
    299.53/457.31 = 457.31/x
  3. Step 3: Cross multiply
    299.53x = 457.31 × 457.31
  4. Step 4: Simplify right side
    299.53x = 209,134.72
  5. Step 5: Solve for x
    x = 209,134.72/299.53
  6. Step 6: Final answer
    x = 698.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.