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Finding the Third Proportional to 289.83 and 573.96

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Solution

The third proportional to 289.83 and 573.96 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 573.96 = 573.96 : x
  2. Step 2: Convert to fraction form
    289.83/573.96 = 573.96/x
  3. Step 3: Cross multiply
    289.83x = 573.96 × 573.96
  4. Step 4: Simplify right side
    289.83x = 329,431.16
  5. Step 5: Solve for x
    x = 329,431.16/289.83
  6. Step 6: Final answer
    x = 1,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.