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Finding the Third Proportional to 211.77 and 325.95

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Solution

The third proportional to 211.77 and 325.95 is: 501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 325.95 = 325.95 : x
  2. Step 2: Convert to fraction form
    211.77/325.95 = 325.95/x
  3. Step 3: Cross multiply
    211.77x = 325.95 × 325.95
  4. Step 4: Simplify right side
    211.77x = 106,245.44
  5. Step 5: Solve for x
    x = 106,245.44/211.77
  6. Step 6: Final answer
    x = 501.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.