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Finding the Third Proportional to 99.98 and 108.63

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Solution

The third proportional to 99.98 and 108.63 is: 118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 108.63 = 108.63 : x
  2. Step 2: Convert to fraction form
    99.98/108.63 = 108.63/x
  3. Step 3: Cross multiply
    99.98x = 108.63 × 108.63
  4. Step 4: Simplify right side
    99.98x = 11,801.09
  5. Step 5: Solve for x
    x = 11,801.09/99.98
  6. Step 6: Final answer
    x = 118.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.