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Finding the Third Proportional to 288.72 and 588.04

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Solution

The third proportional to 288.72 and 588.04 is: 1,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 588.04 = 588.04 : x
  2. Step 2: Convert to fraction form
    288.72/588.04 = 588.04/x
  3. Step 3: Cross multiply
    288.72x = 588.04 × 588.04
  4. Step 4: Simplify right side
    288.72x = 345,792.24
  5. Step 5: Solve for x
    x = 345,792.24/288.72
  6. Step 6: Final answer
    x = 1,197.67

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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.