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Finding the Third Proportional to 11.60 and 25.10

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Solution

The third proportional to 11.60 and 25.10 is: 54.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 25.10 = 25.10 : x
  2. Step 2: Convert to fraction form
    11.60/25.10 = 25.10/x
  3. Step 3: Cross multiply
    11.60x = 25.10 × 25.10
  4. Step 4: Simplify right side
    11.60x = 630.09
  5. Step 5: Solve for x
    x = 630.09/11.60
  6. Step 6: Final answer
    x = 54.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.