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Finding the Third Proportional to 254.06 and 399.28

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Solution

The third proportional to 254.06 and 399.28 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 399.28 = 399.28 : x
  2. Step 2: Convert to fraction form
    254.06/399.28 = 399.28/x
  3. Step 3: Cross multiply
    254.06x = 399.28 × 399.28
  4. Step 4: Simplify right side
    254.06x = 159,425.52
  5. Step 5: Solve for x
    x = 159,425.52/254.06
  6. Step 6: Final answer
    x = 627.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.