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Finding the Third Proportional to 592.75 and 687.25

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Solution

The third proportional to 592.75 and 687.25 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.75 : 687.25 = 687.25 : x
  2. Step 2: Convert to fraction form
    592.75/687.25 = 687.25/x
  3. Step 3: Cross multiply
    592.75x = 687.25 × 687.25
  4. Step 4: Simplify right side
    592.75x = 472,312.56
  5. Step 5: Solve for x
    x = 472,312.56/592.75
  6. Step 6: Final answer
    x = 796.82

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.