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Finding the Third Proportional to 179.51 and 211.57

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Solution

The third proportional to 179.51 and 211.57 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.51 : 211.57 = 211.57 : x
  2. Step 2: Convert to fraction form
    179.51/211.57 = 211.57/x
  3. Step 3: Cross multiply
    179.51x = 211.57 × 211.57
  4. Step 4: Simplify right side
    179.51x = 44,762.00
  5. Step 5: Solve for x
    x = 44,762.00/179.51
  6. Step 6: Final answer
    x = 249.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.