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Finding the Third Proportional to 247.22 and 383.33

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Solution

The third proportional to 247.22 and 383.33 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.22 : 383.33 = 383.33 : x
  2. Step 2: Convert to fraction form
    247.22/383.33 = 383.33/x
  3. Step 3: Cross multiply
    247.22x = 383.33 × 383.33
  4. Step 4: Simplify right side
    247.22x = 146,938.95
  5. Step 5: Solve for x
    x = 146,938.95/247.22
  6. Step 6: Final answer
    x = 594.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.