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Finding the Third Proportional to 10.18 and 26.09

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Solution

The third proportional to 10.18 and 26.09 is: 66.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.18 : 26.09 = 26.09 : x
  2. Step 2: Convert to fraction form
    10.18/26.09 = 26.09/x
  3. Step 3: Cross multiply
    10.18x = 26.09 × 26.09
  4. Step 4: Simplify right side
    10.18x = 680.77
  5. Step 5: Solve for x
    x = 680.77/10.18
  6. Step 6: Final answer
    x = 66.90

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.