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Finding the Third Proportional to 211.50 and 296.25

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Solution

The third proportional to 211.50 and 296.25 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 296.25 = 296.25 : x
  2. Step 2: Convert to fraction form
    211.50/296.25 = 296.25/x
  3. Step 3: Cross multiply
    211.50x = 296.25 × 296.25
  4. Step 4: Simplify right side
    211.50x = 87,764.06
  5. Step 5: Solve for x
    x = 87,764.06/211.50
  6. Step 6: Final answer
    x = 414.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.