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Finding the Third Proportional to 12.63 and 19.59

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Solution

The third proportional to 12.63 and 19.59 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.63 : 19.59 = 19.59 : x
  2. Step 2: Convert to fraction form
    12.63/19.59 = 19.59/x
  3. Step 3: Cross multiply
    12.63x = 19.59 × 19.59
  4. Step 4: Simplify right side
    12.63x = 383.92
  5. Step 5: Solve for x
    x = 383.92/12.63
  6. Step 6: Final answer
    x = 30.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.