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Finding the Third Proportional to 377.55 and 827.01

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Solution

The third proportional to 377.55 and 827.01 is: 1,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 827.01 = 827.01 : x
  2. Step 2: Convert to fraction form
    377.55/827.01 = 827.01/x
  3. Step 3: Cross multiply
    377.55x = 827.01 × 827.01
  4. Step 4: Simplify right side
    377.55x = 683,940.31
  5. Step 5: Solve for x
    x = 683,940.31/377.55
  6. Step 6: Final answer
    x = 1,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.