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Finding the Third Proportional to 30.94 and 49.19

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Solution

The third proportional to 30.94 and 49.19 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 49.19 = 49.19 : x
  2. Step 2: Convert to fraction form
    30.94/49.19 = 49.19/x
  3. Step 3: Cross multiply
    30.94x = 49.19 × 49.19
  4. Step 4: Simplify right side
    30.94x = 2,419.41
  5. Step 5: Solve for x
    x = 2,419.41/30.94
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.