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Finding the Third Proportional to 21.36 and 33.10

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Solution

The third proportional to 21.36 and 33.10 is: 51.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.36 : 33.10 = 33.10 : x
  2. Step 2: Convert to fraction form
    21.36/33.10 = 33.10/x
  3. Step 3: Cross multiply
    21.36x = 33.10 × 33.10
  4. Step 4: Simplify right side
    21.36x = 1,095.88
  5. Step 5: Solve for x
    x = 1,095.88/21.36
  6. Step 6: Final answer
    x = 51.31

Related Problems

Find third proportional to 10.68 and 16.55
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.