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Finding the Third Proportional to 445.69 and 699.94

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Solution

The third proportional to 445.69 and 699.94 is: 1,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.69 : 699.94 = 699.94 : x
  2. Step 2: Convert to fraction form
    445.69/699.94 = 699.94/x
  3. Step 3: Cross multiply
    445.69x = 699.94 × 699.94
  4. Step 4: Simplify right side
    445.69x = 489,912.50
  5. Step 5: Solve for x
    x = 489,912.50/445.69
  6. Step 6: Final answer
    x = 1,099.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.