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Finding the Third Proportional to 383.63 and 827.91

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Solution

The third proportional to 383.63 and 827.91 is: 1,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 827.91 = 827.91 : x
  2. Step 2: Convert to fraction form
    383.63/827.91 = 827.91/x
  3. Step 3: Cross multiply
    383.63x = 827.91 × 827.91
  4. Step 4: Simplify right side
    383.63x = 685,428.76
  5. Step 5: Solve for x
    x = 685,428.76/383.63
  6. Step 6: Final answer
    x = 1,786.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.