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Finding the Third Proportional to 356.34 and 827.86

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Solution

The third proportional to 356.34 and 827.86 is: 1,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.34 : 827.86 = 827.86 : x
  2. Step 2: Convert to fraction form
    356.34/827.86 = 827.86/x
  3. Step 3: Cross multiply
    356.34x = 827.86 × 827.86
  4. Step 4: Simplify right side
    356.34x = 685,351.14
  5. Step 5: Solve for x
    x = 685,351.14/356.34
  6. Step 6: Final answer
    x = 1,923.29

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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.