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Finding the Third Proportional to 211.38 and 463.38

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Solution

The third proportional to 211.38 and 463.38 is: 1,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.38 : 463.38 = 463.38 : x
  2. Step 2: Convert to fraction form
    211.38/463.38 = 463.38/x
  3. Step 3: Cross multiply
    211.38x = 463.38 × 463.38
  4. Step 4: Simplify right side
    211.38x = 214,716.39
  5. Step 5: Solve for x
    x = 214,716.39/211.38
  6. Step 6: Final answer
    x = 1,015.81

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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.