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Finding the Third Proportional to 0.45 and 2.03

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Solution

The third proportional to 0.45 and 2.03 is: 9.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.45 : 2.03 = 2.03 : x
  2. Step 2: Convert to fraction form
    0.45/2.03 = 2.03/x
  3. Step 3: Cross multiply
    0.45x = 2.03 × 2.03
  4. Step 4: Simplify right side
    0.45x = 4.11
  5. Step 5: Solve for x
    x = 4.11/0.45
  6. Step 6: Final answer
    x = 9.12

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Why These Related Problems?

These problems maintain the same ratio (4.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.