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Finding the Third Proportional to 845.25 and 1,816.25

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Solution

The third proportional to 845.25 and 1,816.25 is: 3,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,816.25 = 1,816.25 : x
  2. Step 2: Convert to fraction form
    845.25/1,816.25 = 1,816.25/x
  3. Step 3: Cross multiply
    845.25x = 1,816.25 × 1,816.25
  4. Step 4: Simplify right side
    845.25x = 3,298,764.06
  5. Step 5: Solve for x
    x = 3,298,764.06/845.25
  6. Step 6: Final answer
    x = 3,902.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.