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Finding the Third Proportional to 438.33 and 963.98

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Solution

The third proportional to 438.33 and 963.98 is: 2,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.33 : 963.98 = 963.98 : x
  2. Step 2: Convert to fraction form
    438.33/963.98 = 963.98/x
  3. Step 3: Cross multiply
    438.33x = 963.98 × 963.98
  4. Step 4: Simplify right side
    438.33x = 929,265.88
  5. Step 5: Solve for x
    x = 929,265.88/438.33
  6. Step 6: Final answer
    x = 2,120.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.