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Finding the Third Proportional to 394.19 and 618.42

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Solution

The third proportional to 394.19 and 618.42 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.19 : 618.42 = 618.42 : x
  2. Step 2: Convert to fraction form
    394.19/618.42 = 618.42/x
  3. Step 3: Cross multiply
    394.19x = 618.42 × 618.42
  4. Step 4: Simplify right side
    394.19x = 382,438.37
  5. Step 5: Solve for x
    x = 382,438.37/394.19
  6. Step 6: Final answer
    x = 970.19

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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.