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Finding the Third Proportional to 253.41 and 381.23

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Solution

The third proportional to 253.41 and 381.23 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 381.23 = 381.23 : x
  2. Step 2: Convert to fraction form
    253.41/381.23 = 381.23/x
  3. Step 3: Cross multiply
    253.41x = 381.23 × 381.23
  4. Step 4: Simplify right side
    253.41x = 145,339.65
  5. Step 5: Solve for x
    x = 145,339.65/253.41
  6. Step 6: Final answer
    x = 573.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.