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Finding the Third Proportional to 289.27 and 423.77

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Solution

The third proportional to 289.27 and 423.77 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 423.77 = 423.77 : x
  2. Step 2: Convert to fraction form
    289.27/423.77 = 423.77/x
  3. Step 3: Cross multiply
    289.27x = 423.77 × 423.77
  4. Step 4: Simplify right side
    289.27x = 179,583.93
  5. Step 5: Solve for x
    x = 179,583.93/289.27
  6. Step 6: Final answer
    x = 620.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.