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Finding the Third Proportional to 613.69 and 681.19

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Solution

The third proportional to 613.69 and 681.19 is: 756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 681.19 = 681.19 : x
  2. Step 2: Convert to fraction form
    613.69/681.19 = 681.19/x
  3. Step 3: Cross multiply
    613.69x = 681.19 × 681.19
  4. Step 4: Simplify right side
    613.69x = 464,016.41
  5. Step 5: Solve for x
    x = 464,016.41/613.69
  6. Step 6: Final answer
    x = 756.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.