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Finding the Third Proportional to 376.69 and 910.31

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Solution

The third proportional to 376.69 and 910.31 is: 2,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 910.31 = 910.31 : x
  2. Step 2: Convert to fraction form
    376.69/910.31 = 910.31/x
  3. Step 3: Cross multiply
    376.69x = 910.31 × 910.31
  4. Step 4: Simplify right side
    376.69x = 828,668.85
  5. Step 5: Solve for x
    x = 828,668.85/376.69
  6. Step 6: Final answer
    x = 2,199.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.