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Finding the Third Proportional to 674.75 and 767.75

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Solution

The third proportional to 674.75 and 767.75 is: 873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.75 : 767.75 = 767.75 : x
  2. Step 2: Convert to fraction form
    674.75/767.75 = 767.75/x
  3. Step 3: Cross multiply
    674.75x = 767.75 × 767.75
  4. Step 4: Simplify right side
    674.75x = 589,440.06
  5. Step 5: Solve for x
    x = 589,440.06/674.75
  6. Step 6: Final answer
    x = 873.57

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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.