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Finding the Third Proportional to 212.51 and 450.64

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Solution

The third proportional to 212.51 and 450.64 is: 955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.51 : 450.64 = 450.64 : x
  2. Step 2: Convert to fraction form
    212.51/450.64 = 450.64/x
  3. Step 3: Cross multiply
    212.51x = 450.64 × 450.64
  4. Step 4: Simplify right side
    212.51x = 203,077.85
  5. Step 5: Solve for x
    x = 203,077.85/212.51
  6. Step 6: Final answer
    x = 955.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.