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Finding the Third Proportional to 313.95 and 442.23

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Solution

The third proportional to 313.95 and 442.23 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 442.23 = 442.23 : x
  2. Step 2: Convert to fraction form
    313.95/442.23 = 442.23/x
  3. Step 3: Cross multiply
    313.95x = 442.23 × 442.23
  4. Step 4: Simplify right side
    313.95x = 195,567.79
  5. Step 5: Solve for x
    x = 195,567.79/313.95
  6. Step 6: Final answer
    x = 622.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.