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Finding the Third Proportional to 497.75 and 674.38

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Solution

The third proportional to 497.75 and 674.38 is: 913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 674.38 = 674.38 : x
  2. Step 2: Convert to fraction form
    497.75/674.38 = 674.38/x
  3. Step 3: Cross multiply
    497.75x = 674.38 × 674.38
  4. Step 4: Simplify right side
    497.75x = 454,781.64
  5. Step 5: Solve for x
    x = 454,781.64/497.75
  6. Step 6: Final answer
    x = 913.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.