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Finding the Third Proportional to 706 and 754.75

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Solution

The third proportional to 706 and 754.75 is: 806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 754.75 = 754.75 : x
  2. Step 2: Convert to fraction form
    706/754.75 = 754.75/x
  3. Step 3: Cross multiply
    706x = 754.75 × 754.75
  4. Step 4: Simplify right side
    706x = 569,647.56
  5. Step 5: Solve for x
    x = 569,647.56/706
  6. Step 6: Final answer
    x = 806.87

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.