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Finding the Third Proportional to 216.42 and 429.05

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Solution

The third proportional to 216.42 and 429.05 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 429.05 = 429.05 : x
  2. Step 2: Convert to fraction form
    216.42/429.05 = 429.05/x
  3. Step 3: Cross multiply
    216.42x = 429.05 × 429.05
  4. Step 4: Simplify right side
    216.42x = 184,081.22
  5. Step 5: Solve for x
    x = 184,081.22/216.42
  6. Step 6: Final answer
    x = 850.57

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.