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Finding the Third Proportional to 321 and 441.50

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Solution

The third proportional to 321 and 441.50 is: 607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 441.50 = 441.50 : x
  2. Step 2: Convert to fraction form
    321/441.50 = 441.50/x
  3. Step 3: Cross multiply
    321x = 441.50 × 441.50
  4. Step 4: Simplify right side
    321x = 194,922.25
  5. Step 5: Solve for x
    x = 194,922.25/321
  6. Step 6: Final answer
    x = 607.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.