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Finding the Third Proportional to 9.21 and 19.35

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Solution

The third proportional to 9.21 and 19.35 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.21 : 19.35 = 19.35 : x
  2. Step 2: Convert to fraction form
    9.21/19.35 = 19.35/x
  3. Step 3: Cross multiply
    9.21x = 19.35 × 19.35
  4. Step 4: Simplify right side
    9.21x = 374.53
  5. Step 5: Solve for x
    x = 374.53/9.21
  6. Step 6: Final answer
    x = 40.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.