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Finding the Third Proportional to 212.48 and 446.48

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Solution

The third proportional to 212.48 and 446.48 is: 938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 446.48 = 446.48 : x
  2. Step 2: Convert to fraction form
    212.48/446.48 = 446.48/x
  3. Step 3: Cross multiply
    212.48x = 446.48 × 446.48
  4. Step 4: Simplify right side
    212.48x = 199,348.30
  5. Step 5: Solve for x
    x = 199,348.30/212.48
  6. Step 6: Final answer
    x = 938.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.