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Finding the Third Proportional to 320 and 384.50

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Solution

The third proportional to 320 and 384.50 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 384.50 = 384.50 : x
  2. Step 2: Convert to fraction form
    320/384.50 = 384.50/x
  3. Step 3: Cross multiply
    320x = 384.50 × 384.50
  4. Step 4: Simplify right side
    320x = 147,840.25
  5. Step 5: Solve for x
    x = 147,840.25/320
  6. Step 6: Final answer
    x = 462.00

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