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Finding the Third Proportional to 835.69 and 1,299.19

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Solution

The third proportional to 835.69 and 1,299.19 is: 2,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.69 : 1,299.19 = 1,299.19 : x
  2. Step 2: Convert to fraction form
    835.69/1,299.19 = 1,299.19/x
  3. Step 3: Cross multiply
    835.69x = 1,299.19 × 1,299.19
  4. Step 4: Simplify right side
    835.69x = 1,687,888.16
  5. Step 5: Solve for x
    x = 1,687,888.16/835.69
  6. Step 6: Final answer
    x = 2,019.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.