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Finding the Third Proportional to 42.98 and 100.83

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Solution

The third proportional to 42.98 and 100.83 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.98 : 100.83 = 100.83 : x
  2. Step 2: Convert to fraction form
    42.98/100.83 = 100.83/x
  3. Step 3: Cross multiply
    42.98x = 100.83 × 100.83
  4. Step 4: Simplify right side
    42.98x = 10,166.31
  5. Step 5: Solve for x
    x = 10,166.31/42.98
  6. Step 6: Final answer
    x = 236.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.