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Finding the Third Proportional to 164.50 and 368

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Solution

The third proportional to 164.50 and 368 is: 823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 368 = 368 : x
  2. Step 2: Convert to fraction form
    164.50/368 = 368/x
  3. Step 3: Cross multiply
    164.50x = 368 × 368
  4. Step 4: Simplify right side
    164.50x = 135,424
  5. Step 5: Solve for x
    x = 135,424/164.50
  6. Step 6: Final answer
    x = 823.25

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.