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Finding the Third Proportional to 254.87 and 325.34

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Solution

The third proportional to 254.87 and 325.34 is: 415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 325.34 = 325.34 : x
  2. Step 2: Convert to fraction form
    254.87/325.34 = 325.34/x
  3. Step 3: Cross multiply
    254.87x = 325.34 × 325.34
  4. Step 4: Simplify right side
    254.87x = 105,849.19
  5. Step 5: Solve for x
    x = 105,849.19/254.87
  6. Step 6: Final answer
    x = 415.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.