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Finding the Third Proportional to 316.09 and 350.26

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Solution

The third proportional to 316.09 and 350.26 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 350.26 = 350.26 : x
  2. Step 2: Convert to fraction form
    316.09/350.26 = 350.26/x
  3. Step 3: Cross multiply
    316.09x = 350.26 × 350.26
  4. Step 4: Simplify right side
    316.09x = 122,683.27
  5. Step 5: Solve for x
    x = 122,683.27/316.09
  6. Step 6: Final answer
    x = 388.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.