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Finding the Third Proportional to 557 and 644

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Solution

The third proportional to 557 and 644 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    557/644 = 644/x
  3. Step 3: Cross multiply
    557x = 644 × 644
  4. Step 4: Simplify right side
    557x = 414,736
  5. Step 5: Solve for x
    x = 414,736/557
  6. Step 6: Final answer
    x = 744.59

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