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Finding the Third Proportional to 10.45 and 21.42

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Solution

The third proportional to 10.45 and 21.42 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.45 : 21.42 = 21.42 : x
  2. Step 2: Convert to fraction form
    10.45/21.42 = 21.42/x
  3. Step 3: Cross multiply
    10.45x = 21.42 × 21.42
  4. Step 4: Simplify right side
    10.45x = 458.90
  5. Step 5: Solve for x
    x = 458.90/10.45
  6. Step 6: Final answer
    x = 43.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.