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Finding the Third Proportional to 662.75 and 755.75

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Solution

The third proportional to 662.75 and 755.75 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.75 : 755.75 = 755.75 : x
  2. Step 2: Convert to fraction form
    662.75/755.75 = 755.75/x
  3. Step 3: Cross multiply
    662.75x = 755.75 × 755.75
  4. Step 4: Simplify right side
    662.75x = 571,158.06
  5. Step 5: Solve for x
    x = 571,158.06/662.75
  6. Step 6: Final answer
    x = 861.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.