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Finding the Third Proportional to 216.42 and 355.43

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Solution

The third proportional to 216.42 and 355.43 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 355.43 = 355.43 : x
  2. Step 2: Convert to fraction form
    216.42/355.43 = 355.43/x
  3. Step 3: Cross multiply
    216.42x = 355.43 × 355.43
  4. Step 4: Simplify right side
    216.42x = 126,330.26
  5. Step 5: Solve for x
    x = 126,330.26/216.42
  6. Step 6: Final answer
    x = 583.72

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.