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Finding the Third Proportional to 211.41 and 489.56

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Solution

The third proportional to 211.41 and 489.56 is: 1,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 489.56 = 489.56 : x
  2. Step 2: Convert to fraction form
    211.41/489.56 = 489.56/x
  3. Step 3: Cross multiply
    211.41x = 489.56 × 489.56
  4. Step 4: Simplify right side
    211.41x = 239,671.44
  5. Step 5: Solve for x
    x = 239,671.44/211.41
  6. Step 6: Final answer
    x = 1,133.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.