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Finding the Third Proportional to 42 and 110.25

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Solution

The third proportional to 42 and 110.25 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 110.25 = 110.25 : x
  2. Step 2: Convert to fraction form
    42/110.25 = 110.25/x
  3. Step 3: Cross multiply
    42x = 110.25 × 110.25
  4. Step 4: Simplify right side
    42x = 12,155.06
  5. Step 5: Solve for x
    x = 12,155.06/42
  6. Step 6: Final answer
    x = 289.41

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.