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Finding the Third Proportional to 254.09 and 376.72

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Solution

The third proportional to 254.09 and 376.72 is: 558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 376.72 = 376.72 : x
  2. Step 2: Convert to fraction form
    254.09/376.72 = 376.72/x
  3. Step 3: Cross multiply
    254.09x = 376.72 × 376.72
  4. Step 4: Simplify right side
    254.09x = 141,921.65
  5. Step 5: Solve for x
    x = 141,921.65/254.09
  6. Step 6: Final answer
    x = 558.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.