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Finding the Third Proportional to 821.07 and 1,790.23

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Solution

The third proportional to 821.07 and 1,790.23 is: 3,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,790.23 = 1,790.23 : x
  2. Step 2: Convert to fraction form
    821.07/1,790.23 = 1,790.23/x
  3. Step 3: Cross multiply
    821.07x = 1,790.23 × 1,790.23
  4. Step 4: Simplify right side
    821.07x = 3,204,911.15
  5. Step 5: Solve for x
    x = 3,204,911.15/821.07
  6. Step 6: Final answer
    x = 3,903.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.