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Finding the Third Proportional to 212.20 and 491.41

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Solution

The third proportional to 212.20 and 491.41 is: 1,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 491.41 = 491.41 : x
  2. Step 2: Convert to fraction form
    212.20/491.41 = 491.41/x
  3. Step 3: Cross multiply
    212.20x = 491.41 × 491.41
  4. Step 4: Simplify right side
    212.20x = 241,487.78
  5. Step 5: Solve for x
    x = 241,487.78/212.20
  6. Step 6: Final answer
    x = 1,138.00

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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.