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Finding the Third Proportional to 289.55 and 589.92

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Solution

The third proportional to 289.55 and 589.92 is: 1,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.55 : 589.92 = 589.92 : x
  2. Step 2: Convert to fraction form
    289.55/589.92 = 589.92/x
  3. Step 3: Cross multiply
    289.55x = 589.92 × 589.92
  4. Step 4: Simplify right side
    289.55x = 348,007.82
  5. Step 5: Solve for x
    x = 348,007.82/289.55
  6. Step 6: Final answer
    x = 1,201.90

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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.