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Finding the Third Proportional to 474 and 570

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Solution

The third proportional to 474 and 570 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 570 = 570 : x
  2. Step 2: Convert to fraction form
    474/570 = 570/x
  3. Step 3: Cross multiply
    474x = 570 × 570
  4. Step 4: Simplify right side
    474x = 324,900
  5. Step 5: Solve for x
    x = 324,900/474
  6. Step 6: Final answer
    x = 685.44

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