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Finding the Third Proportional to 10.21 and 23.05

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Solution

The third proportional to 10.21 and 23.05 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 23.05 = 23.05 : x
  2. Step 2: Convert to fraction form
    10.21/23.05 = 23.05/x
  3. Step 3: Cross multiply
    10.21x = 23.05 × 23.05
  4. Step 4: Simplify right side
    10.21x = 531.28
  5. Step 5: Solve for x
    x = 531.28/10.21
  6. Step 6: Final answer
    x = 52.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.