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Finding the Third Proportional to 6,790.50 and 15,351.19

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Solution

The third proportional to 6,790.50 and 15,351.19 is: 34,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.50 : 15,351.19 = 15,351.19 : x
  2. Step 2: Convert to fraction form
    6,790.50/15,351.19 = 15,351.19/x
  3. Step 3: Cross multiply
    6,790.50x = 15,351.19 × 15,351.19
  4. Step 4: Simplify right side
    6,790.50x = 235,658,957.66
  5. Step 5: Solve for x
    x = 235,658,957.66/6,790.50
  6. Step 6: Final answer
    x = 34,704.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.