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Finding the Third Proportional to 378.28 and 845.16

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Solution

The third proportional to 378.28 and 845.16 is: 1,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 845.16 = 845.16 : x
  2. Step 2: Convert to fraction form
    378.28/845.16 = 845.16/x
  3. Step 3: Cross multiply
    378.28x = 845.16 × 845.16
  4. Step 4: Simplify right side
    378.28x = 714,289.09
  5. Step 5: Solve for x
    x = 714,289.09/378.28
  6. Step 6: Final answer
    x = 1,888.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.