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Finding the Third Proportional to 253.44 and 388.86

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Solution

The third proportional to 253.44 and 388.86 is: 596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.44 : 388.86 = 388.86 : x
  2. Step 2: Convert to fraction form
    253.44/388.86 = 388.86/x
  3. Step 3: Cross multiply
    253.44x = 388.86 × 388.86
  4. Step 4: Simplify right side
    253.44x = 151,214.65
  5. Step 5: Solve for x
    x = 151,214.65/253.44
  6. Step 6: Final answer
    x = 596.65

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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.