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Finding the Third Proportional to 19.09 and 35.54

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Solution

The third proportional to 19.09 and 35.54 is: 66.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.09 : 35.54 = 35.54 : x
  2. Step 2: Convert to fraction form
    19.09/35.54 = 35.54/x
  3. Step 3: Cross multiply
    19.09x = 35.54 × 35.54
  4. Step 4: Simplify right side
    19.09x = 1,263.30
  5. Step 5: Solve for x
    x = 1,263.30/19.09
  6. Step 6: Final answer
    x = 66.18

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.