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Finding the Third Proportional to 578.71 and 890.37

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Solution

The third proportional to 578.71 and 890.37 is: 1,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 890.37 = 890.37 : x
  2. Step 2: Convert to fraction form
    578.71/890.37 = 890.37/x
  3. Step 3: Cross multiply
    578.71x = 890.37 × 890.37
  4. Step 4: Simplify right side
    578.71x = 792,753.73
  5. Step 5: Solve for x
    x = 792,753.73/578.71
  6. Step 6: Final answer
    x = 1,369.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.