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Finding the Third Proportional to 244.88 and 324.09

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Solution

The third proportional to 244.88 and 324.09 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.88 : 324.09 = 324.09 : x
  2. Step 2: Convert to fraction form
    244.88/324.09 = 324.09/x
  3. Step 3: Cross multiply
    244.88x = 324.09 × 324.09
  4. Step 4: Simplify right side
    244.88x = 105,036.76
  5. Step 5: Solve for x
    x = 105,036.76/244.88
  6. Step 6: Final answer
    x = 428.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.