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Finding the Third Proportional to 823.25 and 1,790.50

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Solution

The third proportional to 823.25 and 1,790.50 is: 3,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.25 : 1,790.50 = 1,790.50 : x
  2. Step 2: Convert to fraction form
    823.25/1,790.50 = 1,790.50/x
  3. Step 3: Cross multiply
    823.25x = 1,790.50 × 1,790.50
  4. Step 4: Simplify right side
    823.25x = 3,205,890.25
  5. Step 5: Solve for x
    x = 3,205,890.25/823.25
  6. Step 6: Final answer
    x = 3,894.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.