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Finding the Third Proportional to 826.24 and 1,720.62

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Solution

The third proportional to 826.24 and 1,720.62 is: 3,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.24 : 1,720.62 = 1,720.62 : x
  2. Step 2: Convert to fraction form
    826.24/1,720.62 = 1,720.62/x
  3. Step 3: Cross multiply
    826.24x = 1,720.62 × 1,720.62
  4. Step 4: Simplify right side
    826.24x = 2,960,523.51
  5. Step 5: Solve for x
    x = 2,960,523.51/826.24
  6. Step 6: Final answer
    x = 3,583.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.