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Finding the Third Proportional to 299.25 and 436.97

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Solution

The third proportional to 299.25 and 436.97 is: 638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 436.97 = 436.97 : x
  2. Step 2: Convert to fraction form
    299.25/436.97 = 436.97/x
  3. Step 3: Cross multiply
    299.25x = 436.97 × 436.97
  4. Step 4: Simplify right side
    299.25x = 190,941.69
  5. Step 5: Solve for x
    x = 190,941.69/299.25
  6. Step 6: Final answer
    x = 638.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.