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Finding the Third Proportional to 423.94 and 489.38

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Solution

The third proportional to 423.94 and 489.38 is: 564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 489.38 = 489.38 : x
  2. Step 2: Convert to fraction form
    423.94/489.38 = 489.38/x
  3. Step 3: Cross multiply
    423.94x = 489.38 × 489.38
  4. Step 4: Simplify right side
    423.94x = 239,487.89
  5. Step 5: Solve for x
    x = 239,487.89/423.94
  6. Step 6: Final answer
    x = 564.91

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.