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Finding the Third Proportional to 829.69 and 1,770.19

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Solution

The third proportional to 829.69 and 1,770.19 is: 3,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,770.19 = 1,770.19 : x
  2. Step 2: Convert to fraction form
    829.69/1,770.19 = 1,770.19/x
  3. Step 3: Cross multiply
    829.69x = 1,770.19 × 1,770.19
  4. Step 4: Simplify right side
    829.69x = 3,133,563.79
  5. Step 5: Solve for x
    x = 3,133,563.79/829.69
  6. Step 6: Final answer
    x = 3,776.80

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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.