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Finding the Third Proportional to 205.77 and 492.91

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Solution

The third proportional to 205.77 and 492.91 is: 1,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 492.91 = 492.91 : x
  2. Step 2: Convert to fraction form
    205.77/492.91 = 492.91/x
  3. Step 3: Cross multiply
    205.77x = 492.91 × 492.91
  4. Step 4: Simplify right side
    205.77x = 242,958.50
  5. Step 5: Solve for x
    x = 242,958.50/205.77
  6. Step 6: Final answer
    x = 1,180.73

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.