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Finding the Third Proportional to 254.44 and 372.56

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Solution

The third proportional to 254.44 and 372.56 is: 545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 372.56 = 372.56 : x
  2. Step 2: Convert to fraction form
    254.44/372.56 = 372.56/x
  3. Step 3: Cross multiply
    254.44x = 372.56 × 372.56
  4. Step 4: Simplify right side
    254.44x = 138,802.82
  5. Step 5: Solve for x
    x = 138,802.82/254.44
  6. Step 6: Final answer
    x = 545.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.