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Finding the Third Proportional to 208.38 and 485.94

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Solution

The third proportional to 208.38 and 485.94 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.38 : 485.94 = 485.94 : x
  2. Step 2: Convert to fraction form
    208.38/485.94 = 485.94/x
  3. Step 3: Cross multiply
    208.38x = 485.94 × 485.94
  4. Step 4: Simplify right side
    208.38x = 236,135.25
  5. Step 5: Solve for x
    x = 236,135.25/208.38
  6. Step 6: Final answer
    x = 1,133.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.