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Finding the Third Proportional to 285.05 and 580.22

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Solution

The third proportional to 285.05 and 580.22 is: 1,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 580.22 = 580.22 : x
  2. Step 2: Convert to fraction form
    285.05/580.22 = 580.22/x
  3. Step 3: Cross multiply
    285.05x = 580.22 × 580.22
  4. Step 4: Simplify right side
    285.05x = 336,653.80
  5. Step 5: Solve for x
    x = 336,653.80/285.05
  6. Step 6: Final answer
    x = 1,181.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.