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Finding the Third Proportional to 823.69 and 1,204.69

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Solution

The third proportional to 823.69 and 1,204.69 is: 1,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.69 : 1,204.69 = 1,204.69 : x
  2. Step 2: Convert to fraction form
    823.69/1,204.69 = 1,204.69/x
  3. Step 3: Cross multiply
    823.69x = 1,204.69 × 1,204.69
  4. Step 4: Simplify right side
    823.69x = 1,451,271.97
  5. Step 5: Solve for x
    x = 1,451,271.97/823.69
  6. Step 6: Final answer
    x = 1,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.