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Finding the Third Proportional to 329.88 and 471.44

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Solution

The third proportional to 329.88 and 471.44 is: 673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.88 : 471.44 = 471.44 : x
  2. Step 2: Convert to fraction form
    329.88/471.44 = 471.44/x
  3. Step 3: Cross multiply
    329.88x = 471.44 × 471.44
  4. Step 4: Simplify right side
    329.88x = 222,253.32
  5. Step 5: Solve for x
    x = 222,253.32/329.88
  6. Step 6: Final answer
    x = 673.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.