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Finding the Third Proportional to 19.37 and 30.06

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Solution

The third proportional to 19.37 and 30.06 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.37 : 30.06 = 30.06 : x
  2. Step 2: Convert to fraction form
    19.37/30.06 = 30.06/x
  3. Step 3: Cross multiply
    19.37x = 30.06 × 30.06
  4. Step 4: Simplify right side
    19.37x = 903.77
  5. Step 5: Solve for x
    x = 903.77/19.37
  6. Step 6: Final answer
    x = 46.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.