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Finding the Third Proportional to 520.17 and 789.12

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Solution

The third proportional to 520.17 and 789.12 is: 1,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 789.12 = 789.12 : x
  2. Step 2: Convert to fraction form
    520.17/789.12 = 789.12/x
  3. Step 3: Cross multiply
    520.17x = 789.12 × 789.12
  4. Step 4: Simplify right side
    520.17x = 622,705.94
  5. Step 5: Solve for x
    x = 622,705.94/520.17
  6. Step 6: Final answer
    x = 1,197.12

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Why These Related Problems?

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