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Finding the Third Proportional to 428 and 488.50

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Solution

The third proportional to 428 and 488.50 is: 557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 488.50 = 488.50 : x
  2. Step 2: Convert to fraction form
    428/488.50 = 488.50/x
  3. Step 3: Cross multiply
    428x = 488.50 × 488.50
  4. Step 4: Simplify right side
    428x = 238,632.25
  5. Step 5: Solve for x
    x = 238,632.25/428
  6. Step 6: Final answer
    x = 557.55

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