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Finding the Third Proportional to 613.67 and 911.96

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Solution

The third proportional to 613.67 and 911.96 is: 1,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.67 : 911.96 = 911.96 : x
  2. Step 2: Convert to fraction form
    613.67/911.96 = 911.96/x
  3. Step 3: Cross multiply
    613.67x = 911.96 × 911.96
  4. Step 4: Simplify right side
    613.67x = 831,674.53
  5. Step 5: Solve for x
    x = 831,674.53/613.67
  6. Step 6: Final answer
    x = 1,355.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.