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Finding the Third Proportional to 97.78 and 214.94

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Solution

The third proportional to 97.78 and 214.94 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 214.94 = 214.94 : x
  2. Step 2: Convert to fraction form
    97.78/214.94 = 214.94/x
  3. Step 3: Cross multiply
    97.78x = 214.94 × 214.94
  4. Step 4: Simplify right side
    97.78x = 46,198.13
  5. Step 5: Solve for x
    x = 46,198.13/97.78
  6. Step 6: Final answer
    x = 472.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.