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Finding the Third Proportional to 18.70 and 26.02

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Solution

The third proportional to 18.70 and 26.02 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.70 : 26.02 = 26.02 : x
  2. Step 2: Convert to fraction form
    18.70/26.02 = 26.02/x
  3. Step 3: Cross multiply
    18.70x = 26.02 × 26.02
  4. Step 4: Simplify right side
    18.70x = 676.81
  5. Step 5: Solve for x
    x = 676.81/18.70
  6. Step 6: Final answer
    x = 36.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.