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Finding the Third Proportional to 573.88 and 806.75

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Solution

The third proportional to 573.88 and 806.75 is: 1,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.88 : 806.75 = 806.75 : x
  2. Step 2: Convert to fraction form
    573.88/806.75 = 806.75/x
  3. Step 3: Cross multiply
    573.88x = 806.75 × 806.75
  4. Step 4: Simplify right side
    573.88x = 650,845.56
  5. Step 5: Solve for x
    x = 650,845.56/573.88
  6. Step 6: Final answer
    x = 1,134.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.