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Finding the Third Proportional to 829.62 and 1,205.51

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Solution

The third proportional to 829.62 and 1,205.51 is: 1,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,205.51 = 1,205.51 : x
  2. Step 2: Convert to fraction form
    829.62/1,205.51 = 1,205.51/x
  3. Step 3: Cross multiply
    829.62x = 1,205.51 × 1,205.51
  4. Step 4: Simplify right side
    829.62x = 1,453,249.09
  5. Step 5: Solve for x
    x = 1,453,249.09/829.62
  6. Step 6: Final answer
    x = 1,751.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.