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Finding the Third Proportional to 19,450.13 and 30,876.19

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Solution

The third proportional to 19,450.13 and 30,876.19 is: 49,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450.13 : 30,876.19 = 30,876.19 : x
  2. Step 2: Convert to fraction form
    19,450.13/30,876.19 = 30,876.19/x
  3. Step 3: Cross multiply
    19,450.13x = 30,876.19 × 30,876.19
  4. Step 4: Simplify right side
    19,450.13x = 953,338,954.54
  5. Step 5: Solve for x
    x = 953,338,954.54/19,450.13
  6. Step 6: Final answer
    x = 49,014.54

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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.