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Finding the Third Proportional to 19 and 36.63

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Solution

The third proportional to 19 and 36.63 is: 70.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 36.63 = 36.63 : x
  2. Step 2: Convert to fraction form
    19/36.63 = 36.63/x
  3. Step 3: Cross multiply
    19x = 36.63 × 36.63
  4. Step 4: Simplify right side
    19x = 1,341.39
  5. Step 5: Solve for x
    x = 1,341.39/19
  6. Step 6: Final answer
    x = 70.60

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.