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Finding the Third Proportional to 254.53 and 362.81

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Solution

The third proportional to 254.53 and 362.81 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 362.81 = 362.81 : x
  2. Step 2: Convert to fraction form
    254.53/362.81 = 362.81/x
  3. Step 3: Cross multiply
    254.53x = 362.81 × 362.81
  4. Step 4: Simplify right side
    254.53x = 131,632.91
  5. Step 5: Solve for x
    x = 131,632.91/254.53
  6. Step 6: Final answer
    x = 517.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.