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Finding the Third Proportional to 835.13 and 1,311.56

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Solution

The third proportional to 835.13 and 1,311.56 is: 2,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.13 : 1,311.56 = 1,311.56 : x
  2. Step 2: Convert to fraction form
    835.13/1,311.56 = 1,311.56/x
  3. Step 3: Cross multiply
    835.13x = 1,311.56 × 1,311.56
  4. Step 4: Simplify right side
    835.13x = 1,720,196.19
  5. Step 5: Solve for x
    x = 1,720,196.19/835.13
  6. Step 6: Final answer
    x = 2,059.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.