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Finding the Third Proportional to 205.88 and 299.94

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Solution

The third proportional to 205.88 and 299.94 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 299.94 = 299.94 : x
  2. Step 2: Convert to fraction form
    205.88/299.94 = 299.94/x
  3. Step 3: Cross multiply
    205.88x = 299.94 × 299.94
  4. Step 4: Simplify right side
    205.88x = 89,962.50
  5. Step 5: Solve for x
    x = 89,962.50/205.88
  6. Step 6: Final answer
    x = 436.98

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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.