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Finding the Third Proportional to 216.42 and 468.42

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Solution

The third proportional to 216.42 and 468.42 is: 1,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 468.42 = 468.42 : x
  2. Step 2: Convert to fraction form
    216.42/468.42 = 468.42/x
  3. Step 3: Cross multiply
    216.42x = 468.42 × 468.42
  4. Step 4: Simplify right side
    216.42x = 219,419.05
  5. Step 5: Solve for x
    x = 219,419.05/216.42
  6. Step 6: Final answer
    x = 1,013.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.