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Finding the Third Proportional to 826.13 and 1,763.25

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Solution

The third proportional to 826.13 and 1,763.25 is: 3,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,763.25 = 1,763.25 : x
  2. Step 2: Convert to fraction form
    826.13/1,763.25 = 1,763.25/x
  3. Step 3: Cross multiply
    826.13x = 1,763.25 × 1,763.25
  4. Step 4: Simplify right side
    826.13x = 3,109,050.56
  5. Step 5: Solve for x
    x = 3,109,050.56/826.13
  6. Step 6: Final answer
    x = 3,763.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.