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Finding the Third Proportional to 319.78 and 364.78

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Solution

The third proportional to 319.78 and 364.78 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 364.78 = 364.78 : x
  2. Step 2: Convert to fraction form
    319.78/364.78 = 364.78/x
  3. Step 3: Cross multiply
    319.78x = 364.78 × 364.78
  4. Step 4: Simplify right side
    319.78x = 133,065.36
  5. Step 5: Solve for x
    x = 133,065.36/319.78
  6. Step 6: Final answer
    x = 416.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.