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Finding the Third Proportional to 6.30 and 12.60

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Solution

The third proportional to 6.30 and 12.60 is: 25.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.30 : 12.60 = 12.60 : x
  2. Step 2: Convert to fraction form
    6.30/12.60 = 12.60/x
  3. Step 3: Cross multiply
    6.30x = 12.60 × 12.60
  4. Step 4: Simplify right side
    6.30x = 158.82
  5. Step 5: Solve for x
    x = 158.82/6.30
  6. Step 6: Final answer
    x = 25.20

Related Problems

Find third proportional to 3.15 and 6.30
Half scale
Find third proportional to 12.60 and 25.20
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 (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.