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Finding the Third Proportional to 5.23 and 11.47

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Solution

The third proportional to 5.23 and 11.47 is: 25.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 11.47 = 11.47 : x
  2. Step 2: Convert to fraction form
    5.23/11.47 = 11.47/x
  3. Step 3: Cross multiply
    5.23x = 11.47 × 11.47
  4. Step 4: Simplify right side
    5.23x = 131.52
  5. Step 5: Solve for x
    x = 131.52/5.23
  6. Step 6: Final answer
    x = 25.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.