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Finding the Third Proportional to 19.73 and 30.03

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Solution

The third proportional to 19.73 and 30.03 is: 45.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.73 : 30.03 = 30.03 : x
  2. Step 2: Convert to fraction form
    19.73/30.03 = 30.03/x
  3. Step 3: Cross multiply
    19.73x = 30.03 × 30.03
  4. Step 4: Simplify right side
    19.73x = 901.88
  5. Step 5: Solve for x
    x = 901.88/19.73
  6. Step 6: Final answer
    x = 45.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.