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Finding the Third Proportional to 4.56 and 7.09

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Solution

The third proportional to 4.56 and 7.09 is: 11.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 7.09 = 7.09 : x
  2. Step 2: Convert to fraction form
    4.56/7.09 = 7.09/x
  3. Step 3: Cross multiply
    4.56x = 7.09 × 7.09
  4. Step 4: Simplify right side
    4.56x = 50.32
  5. Step 5: Solve for x
    x = 50.32/4.56
  6. Step 6: Final answer
    x = 11.03

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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.