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Finding the Third Proportional to 6,989.20 and 10,815.19

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Solution

The third proportional to 6,989.20 and 10,815.19 is: 16,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.20 : 10,815.19 = 10,815.19 : x
  2. Step 2: Convert to fraction form
    6,989.20/10,815.19 = 10,815.19/x
  3. Step 3: Cross multiply
    6,989.20x = 10,815.19 × 10,815.19
  4. Step 4: Simplify right side
    6,989.20x = 116,968,280.66
  5. Step 5: Solve for x
    x = 116,968,280.66/6,989.20
  6. Step 6: Final answer
    x = 16,735.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.