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Finding the Third Proportional to 489.38 and 733.50

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Solution

The third proportional to 489.38 and 733.50 is: 1,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 733.50 = 733.50 : x
  2. Step 2: Convert to fraction form
    489.38/733.50 = 733.50/x
  3. Step 3: Cross multiply
    489.38x = 733.50 × 733.50
  4. Step 4: Simplify right side
    489.38x = 538,022.25
  5. Step 5: Solve for x
    x = 538,022.25/489.38
  6. Step 6: Final answer
    x = 1,099.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.