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Finding the Third Proportional to 19 and 49.38

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Solution

The third proportional to 19 and 49.38 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 49.38 = 49.38 : x
  2. Step 2: Convert to fraction form
    19/49.38 = 49.38/x
  3. Step 3: Cross multiply
    19x = 49.38 × 49.38
  4. Step 4: Simplify right side
    19x = 2,437.89
  5. Step 5: Solve for x
    x = 2,437.89/19
  6. Step 6: Final answer
    x = 128.31

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.