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Finding the Third Proportional to 19.62 and 30.06

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Solution

The third proportional to 19.62 and 30.06 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.62 : 30.06 = 30.06 : x
  2. Step 2: Convert to fraction form
    19.62/30.06 = 30.06/x
  3. Step 3: Cross multiply
    19.62x = 30.06 × 30.06
  4. Step 4: Simplify right side
    19.62x = 903.52
  5. Step 5: Solve for x
    x = 903.52/19.62
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.