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Finding the Third Proportional to 10.21 and 21.50

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Solution

The third proportional to 10.21 and 21.50 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 21.50 = 21.50 : x
  2. Step 2: Convert to fraction form
    10.21/21.50 = 21.50/x
  3. Step 3: Cross multiply
    10.21x = 21.50 × 21.50
  4. Step 4: Simplify right side
    10.21x = 462.08
  5. Step 5: Solve for x
    x = 462.08/10.21
  6. Step 6: Final answer
    x = 45.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.