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Finding the Third Proportional to 211.78 and 317.67

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Solution

The third proportional to 211.78 and 317.67 is: 476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 317.67 = 317.67 : x
  2. Step 2: Convert to fraction form
    211.78/317.67 = 317.67/x
  3. Step 3: Cross multiply
    211.78x = 317.67 × 317.67
  4. Step 4: Simplify right side
    211.78x = 100,915.42
  5. Step 5: Solve for x
    x = 100,915.42/211.78
  6. Step 6: Final answer
    x = 476.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.