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Finding the Third Proportional to 383.48 and 827.30

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Solution

The third proportional to 383.48 and 827.30 is: 1,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 827.30 = 827.30 : x
  2. Step 2: Convert to fraction form
    383.48/827.30 = 827.30/x
  3. Step 3: Cross multiply
    383.48x = 827.30 × 827.30
  4. Step 4: Simplify right side
    383.48x = 684,420.12
  5. Step 5: Solve for x
    x = 684,420.12/383.48
  6. Step 6: Final answer
    x = 1,784.74

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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.