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Finding the Third Proportional to 224.84 and 491.34

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Solution

The third proportional to 224.84 and 491.34 is: 1,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.84 : 491.34 = 491.34 : x
  2. Step 2: Convert to fraction form
    224.84/491.34 = 491.34/x
  3. Step 3: Cross multiply
    224.84x = 491.34 × 491.34
  4. Step 4: Simplify right side
    224.84x = 241,418.68
  5. Step 5: Solve for x
    x = 241,418.68/224.84
  6. Step 6: Final answer
    x = 1,073.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.