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Finding the Third Proportional to 6,915 and 9,940.50

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Solution

The third proportional to 6,915 and 9,940.50 is: 14,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915 : 9,940.50 = 9,940.50 : x
  2. Step 2: Convert to fraction form
    6,915/9,940.50 = 9,940.50/x
  3. Step 3: Cross multiply
    6,915x = 9,940.50 × 9,940.50
  4. Step 4: Simplify right side
    6,915x = 98,813,540.25
  5. Step 5: Solve for x
    x = 98,813,540.25/6,915
  6. Step 6: Final answer
    x = 14,289.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.