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Finding the Third Proportional to 213.50 and 489.50

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Solution

The third proportional to 213.50 and 489.50 is: 1,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 489.50 = 489.50 : x
  2. Step 2: Convert to fraction form
    213.50/489.50 = 489.50/x
  3. Step 3: Cross multiply
    213.50x = 489.50 × 489.50
  4. Step 4: Simplify right side
    213.50x = 239,610.25
  5. Step 5: Solve for x
    x = 239,610.25/213.50
  6. Step 6: Final answer
    x = 1,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.