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Finding the Third Proportional to 243.94 and 438.38

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Solution

The third proportional to 243.94 and 438.38 is: 787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 438.38 = 438.38 : x
  2. Step 2: Convert to fraction form
    243.94/438.38 = 438.38/x
  3. Step 3: Cross multiply
    243.94x = 438.38 × 438.38
  4. Step 4: Simplify right side
    243.94x = 192,172.64
  5. Step 5: Solve for x
    x = 192,172.64/243.94
  6. Step 6: Final answer
    x = 787.79

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.