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Finding the Third Proportional to 211.36 and 301.64

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Solution

The third proportional to 211.36 and 301.64 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 301.64 = 301.64 : x
  2. Step 2: Convert to fraction form
    211.36/301.64 = 301.64/x
  3. Step 3: Cross multiply
    211.36x = 301.64 × 301.64
  4. Step 4: Simplify right side
    211.36x = 90,987.07
  5. Step 5: Solve for x
    x = 90,987.07/211.36
  6. Step 6: Final answer
    x = 430.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.