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Finding the Third Proportional to 820.13 and 1,617.47

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Solution

The third proportional to 820.13 and 1,617.47 is: 3,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,617.47 = 1,617.47 : x
  2. Step 2: Convert to fraction form
    820.13/1,617.47 = 1,617.47/x
  3. Step 3: Cross multiply
    820.13x = 1,617.47 × 1,617.47
  4. Step 4: Simplify right side
    820.13x = 2,616,205.16
  5. Step 5: Solve for x
    x = 2,616,205.16/820.13
  6. Step 6: Final answer
    x = 3,190.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.