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Finding the Third Proportional to 216.42 and 301.85

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Solution

The third proportional to 216.42 and 301.85 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 301.85 = 301.85 : x
  2. Step 2: Convert to fraction form
    216.42/301.85 = 301.85/x
  3. Step 3: Cross multiply
    216.42x = 301.85 × 301.85
  4. Step 4: Simplify right side
    216.42x = 91,114.37
  5. Step 5: Solve for x
    x = 91,114.37/216.42
  6. Step 6: Final answer
    x = 421.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.