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Finding the Third Proportional to 733.13 and 890.81

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Solution

The third proportional to 733.13 and 890.81 is: 1,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 890.81 = 890.81 : x
  2. Step 2: Convert to fraction form
    733.13/890.81 = 890.81/x
  3. Step 3: Cross multiply
    733.13x = 890.81 × 890.81
  4. Step 4: Simplify right side
    733.13x = 793,546.91
  5. Step 5: Solve for x
    x = 793,546.91/733.13
  6. Step 6: Final answer
    x = 1,082.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.