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Finding the Third Proportional to 30.38 and 49.36

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Solution

The third proportional to 30.38 and 49.36 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 49.36 = 49.36 : x
  2. Step 2: Convert to fraction form
    30.38/49.36 = 49.36/x
  3. Step 3: Cross multiply
    30.38x = 49.36 × 49.36
  4. Step 4: Simplify right side
    30.38x = 2,436.35
  5. Step 5: Solve for x
    x = 2,436.35/30.38
  6. Step 6: Final answer
    x = 80.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.