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Finding the Third Proportional to 823.69 and 1,969.13

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Solution

The third proportional to 823.69 and 1,969.13 is: 4,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.69 : 1,969.13 = 1,969.13 : x
  2. Step 2: Convert to fraction form
    823.69/1,969.13 = 1,969.13/x
  3. Step 3: Cross multiply
    823.69x = 1,969.13 × 1,969.13
  4. Step 4: Simplify right side
    823.69x = 3,877,453.27
  5. Step 5: Solve for x
    x = 3,877,453.27/823.69
  6. Step 6: Final answer
    x = 4,707.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.