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Finding the Third Proportional to 382 and 458

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Solution

The third proportional to 382 and 458 is: 549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 458 = 458 : x
  2. Step 2: Convert to fraction form
    382/458 = 458/x
  3. Step 3: Cross multiply
    382x = 458 × 458
  4. Step 4: Simplify right side
    382x = 209,764
  5. Step 5: Solve for x
    x = 209,764/382
  6. Step 6: Final answer
    x = 549.12

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