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Finding the Third Proportional to 821.44 and 1,773.19

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Solution

The third proportional to 821.44 and 1,773.19 is: 3,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.44 : 1,773.19 = 1,773.19 : x
  2. Step 2: Convert to fraction form
    821.44/1,773.19 = 1,773.19/x
  3. Step 3: Cross multiply
    821.44x = 1,773.19 × 1,773.19
  4. Step 4: Simplify right side
    821.44x = 3,144,193.91
  5. Step 5: Solve for x
    x = 3,144,193.91/821.44
  6. Step 6: Final answer
    x = 3,827.67

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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.