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Finding the Third Proportional to 4.56 and 7.60

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Solution

The third proportional to 4.56 and 7.60 is: 12.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 7.60 = 7.60 : x
  2. Step 2: Convert to fraction form
    4.56/7.60 = 7.60/x
  3. Step 3: Cross multiply
    4.56x = 7.60 × 7.60
  4. Step 4: Simplify right side
    4.56x = 57.80
  5. Step 5: Solve for x
    x = 57.80/4.56
  6. Step 6: Final answer
    x = 12.67

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.