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Finding the Third Proportional to 394.45 and 583.98

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Solution

The third proportional to 394.45 and 583.98 is: 864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.45 : 583.98 = 583.98 : x
  2. Step 2: Convert to fraction form
    394.45/583.98 = 583.98/x
  3. Step 3: Cross multiply
    394.45x = 583.98 × 583.98
  4. Step 4: Simplify right side
    394.45x = 341,033.19
  5. Step 5: Solve for x
    x = 341,033.19/394.45
  6. Step 6: Final answer
    x = 864.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.