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Finding the Third Proportional to 538.53 and 730.84

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Solution

The third proportional to 538.53 and 730.84 is: 991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.53 : 730.84 = 730.84 : x
  2. Step 2: Convert to fraction form
    538.53/730.84 = 730.84/x
  3. Step 3: Cross multiply
    538.53x = 730.84 × 730.84
  4. Step 4: Simplify right side
    538.53x = 534,132.59
  5. Step 5: Solve for x
    x = 534,132.59/538.53
  6. Step 6: Final answer
    x = 991.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.