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Finding the Third Proportional to 12.45 and 19.34

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Solution

The third proportional to 12.45 and 19.34 is: 30.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.45 : 19.34 = 19.34 : x
  2. Step 2: Convert to fraction form
    12.45/19.34 = 19.34/x
  3. Step 3: Cross multiply
    12.45x = 19.34 × 19.34
  4. Step 4: Simplify right side
    12.45x = 373.88
  5. Step 5: Solve for x
    x = 373.88/12.45
  6. Step 6: Final answer
    x = 30.04

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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.