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Finding the Third Proportional to 97.98 and 211.43

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Solution

The third proportional to 97.98 and 211.43 is: 456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 211.43 = 211.43 : x
  2. Step 2: Convert to fraction form
    97.98/211.43 = 211.43/x
  3. Step 3: Cross multiply
    97.98x = 211.43 × 211.43
  4. Step 4: Simplify right side
    97.98x = 44,702.51
  5. Step 5: Solve for x
    x = 44,702.51/97.98
  6. Step 6: Final answer
    x = 456.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.