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Finding the Third Proportional to 194.83 and 311.58

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Solution

The third proportional to 194.83 and 311.58 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 311.58 = 311.58 : x
  2. Step 2: Convert to fraction form
    194.83/311.58 = 311.58/x
  3. Step 3: Cross multiply
    194.83x = 311.58 × 311.58
  4. Step 4: Simplify right side
    194.83x = 97,082.75
  5. Step 5: Solve for x
    x = 97,082.75/194.83
  6. Step 6: Final answer
    x = 498.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.