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Finding the Third Proportional to 209.50 and 317.63

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Solution

The third proportional to 209.50 and 317.63 is: 481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 317.63 = 317.63 : x
  2. Step 2: Convert to fraction form
    209.50/317.63 = 317.63/x
  3. Step 3: Cross multiply
    209.50x = 317.63 × 317.63
  4. Step 4: Simplify right side
    209.50x = 100,885.64
  5. Step 5: Solve for x
    x = 100,885.64/209.50
  6. Step 6: Final answer
    x = 481.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.