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Finding the Third Proportional to 389.75 and 585.09

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Solution

The third proportional to 389.75 and 585.09 is: 878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 585.09 = 585.09 : x
  2. Step 2: Convert to fraction form
    389.75/585.09 = 585.09/x
  3. Step 3: Cross multiply
    389.75x = 585.09 × 585.09
  4. Step 4: Simplify right side
    389.75x = 342,334.70
  5. Step 5: Solve for x
    x = 342,334.70/389.75
  6. Step 6: Final answer
    x = 878.34

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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.