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Finding the Third Proportional to 845.25 and 1,833.19

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Solution

The third proportional to 845.25 and 1,833.19 is: 3,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,833.19 = 1,833.19 : x
  2. Step 2: Convert to fraction form
    845.25/1,833.19 = 1,833.19/x
  3. Step 3: Cross multiply
    845.25x = 1,833.19 × 1,833.19
  4. Step 4: Simplify right side
    845.25x = 3,360,576.41
  5. Step 5: Solve for x
    x = 3,360,576.41/845.25
  6. Step 6: Final answer
    x = 3,975.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.