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Finding the Third Proportional to 538.94 and 818.06

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Solution

The third proportional to 538.94 and 818.06 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 818.06 = 818.06 : x
  2. Step 2: Convert to fraction form
    538.94/818.06 = 818.06/x
  3. Step 3: Cross multiply
    538.94x = 818.06 × 818.06
  4. Step 4: Simplify right side
    538.94x = 669,226.25
  5. Step 5: Solve for x
    x = 669,226.25/538.94
  6. Step 6: Final answer
    x = 1,241.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.