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Finding the Third Proportional to 319.99 and 675.11

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Solution

The third proportional to 319.99 and 675.11 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.99 : 675.11 = 675.11 : x
  2. Step 2: Convert to fraction form
    319.99/675.11 = 675.11/x
  3. Step 3: Cross multiply
    319.99x = 675.11 × 675.11
  4. Step 4: Simplify right side
    319.99x = 455,767.39
  5. Step 5: Solve for x
    x = 455,767.39/319.99
  6. Step 6: Final answer
    x = 1,424.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.