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Finding the Third Proportional to 319 and 368

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Solution

The third proportional to 319 and 368 is: 424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 368 = 368 : x
  2. Step 2: Convert to fraction form
    319/368 = 368/x
  3. Step 3: Cross multiply
    319x = 368 × 368
  4. Step 4: Simplify right side
    319x = 135,424
  5. Step 5: Solve for x
    x = 135,424/319
  6. Step 6: Final answer
    x = 424.53

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.