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Finding the Third Proportional to 552.91 and 863.02

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Solution

The third proportional to 552.91 and 863.02 is: 1,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.91 : 863.02 = 863.02 : x
  2. Step 2: Convert to fraction form
    552.91/863.02 = 863.02/x
  3. Step 3: Cross multiply
    552.91x = 863.02 × 863.02
  4. Step 4: Simplify right side
    552.91x = 744,795.97
  5. Step 5: Solve for x
    x = 744,795.97/552.91
  6. Step 6: Final answer
    x = 1,347.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.