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Finding the Third Proportional to 213.88 and 305.84

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Solution

The third proportional to 213.88 and 305.84 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 305.84 = 305.84 : x
  2. Step 2: Convert to fraction form
    213.88/305.84 = 305.84/x
  3. Step 3: Cross multiply
    213.88x = 305.84 × 305.84
  4. Step 4: Simplify right side
    213.88x = 93,540.40
  5. Step 5: Solve for x
    x = 93,540.40/213.88
  6. Step 6: Final answer
    x = 437.36

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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.