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Finding the Third Proportional to 243.84 and 379.27

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Solution

The third proportional to 243.84 and 379.27 is: 589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 379.27 = 379.27 : x
  2. Step 2: Convert to fraction form
    243.84/379.27 = 379.27/x
  3. Step 3: Cross multiply
    243.84x = 379.27 × 379.27
  4. Step 4: Simplify right side
    243.84x = 143,842.41
  5. Step 5: Solve for x
    x = 143,842.41/243.84
  6. Step 6: Final answer
    x = 589.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.