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Finding the Third Proportional to 19 and 26.38

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Solution

The third proportional to 19 and 26.38 is: 36.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 26.38 = 26.38 : x
  2. Step 2: Convert to fraction form
    19/26.38 = 26.38/x
  3. Step 3: Cross multiply
    19x = 26.38 × 26.38
  4. Step 4: Simplify right side
    19x = 695.64
  5. Step 5: Solve for x
    x = 695.64/19
  6. Step 6: Final answer
    x = 36.61

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1.5x scale

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.