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Finding the Third Proportional to 390.44 and 859.31

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Solution

The third proportional to 390.44 and 859.31 is: 1,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 859.31 = 859.31 : x
  2. Step 2: Convert to fraction form
    390.44/859.31 = 859.31/x
  3. Step 3: Cross multiply
    390.44x = 859.31 × 859.31
  4. Step 4: Simplify right side
    390.44x = 738,417.97
  5. Step 5: Solve for x
    x = 738,417.97/390.44
  6. Step 6: Final answer
    x = 1,891.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.