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Finding the Third Proportional to 594.75 and 892.38

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Solution

The third proportional to 594.75 and 892.38 is: 1,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 892.38 = 892.38 : x
  2. Step 2: Convert to fraction form
    594.75/892.38 = 892.38/x
  3. Step 3: Cross multiply
    594.75x = 892.38 × 892.38
  4. Step 4: Simplify right side
    594.75x = 796,333.14
  5. Step 5: Solve for x
    x = 796,333.14/594.75
  6. Step 6: Final answer
    x = 1,338.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.