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Finding the Third Proportional to 688.13 and 894.75

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Solution

The third proportional to 688.13 and 894.75 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 894.75 = 894.75 : x
  2. Step 2: Convert to fraction form
    688.13/894.75 = 894.75/x
  3. Step 3: Cross multiply
    688.13x = 894.75 × 894.75
  4. Step 4: Simplify right side
    688.13x = 800,577.56
  5. Step 5: Solve for x
    x = 800,577.56/688.13
  6. Step 6: Final answer
    x = 1,163.42

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.