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Finding the Third Proportional to 397 and 482.50

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Solution

The third proportional to 397 and 482.50 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 482.50 = 482.50 : x
  2. Step 2: Convert to fraction form
    397/482.50 = 482.50/x
  3. Step 3: Cross multiply
    397x = 482.50 × 482.50
  4. Step 4: Simplify right side
    397x = 232,806.25
  5. Step 5: Solve for x
    x = 232,806.25/397
  6. Step 6: Final answer
    x = 586.41

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