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Finding the Third Proportional to 538.92 and 769.97

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Solution

The third proportional to 538.92 and 769.97 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 769.97 = 769.97 : x
  2. Step 2: Convert to fraction form
    538.92/769.97 = 769.97/x
  3. Step 3: Cross multiply
    538.92x = 769.97 × 769.97
  4. Step 4: Simplify right side
    538.92x = 592,851.88
  5. Step 5: Solve for x
    x = 592,851.88/538.92
  6. Step 6: Final answer
    x = 1,100.07

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