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Finding the Third Proportional to 5.13 and 7.56

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Solution

The third proportional to 5.13 and 7.56 is: 11.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.13 : 7.56 = 7.56 : x
  2. Step 2: Convert to fraction form
    5.13/7.56 = 7.56/x
  3. Step 3: Cross multiply
    5.13x = 7.56 × 7.56
  4. Step 4: Simplify right side
    5.13x = 57.19
  5. Step 5: Solve for x
    x = 57.19/5.13
  6. Step 6: Final answer
    x = 11.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.