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Finding the Third Proportional to 20.57 and 26.58

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Solution

The third proportional to 20.57 and 26.58 is: 34.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 26.58 = 26.58 : x
  2. Step 2: Convert to fraction form
    20.57/26.58 = 26.58/x
  3. Step 3: Cross multiply
    20.57x = 26.58 × 26.58
  4. Step 4: Simplify right side
    20.57x = 706.40
  5. Step 5: Solve for x
    x = 706.40/20.57
  6. Step 6: Final answer
    x = 34.35

Related Problems

Find third proportional to 10.28 and 13.29
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.