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Finding the Third Proportional to 3,122.09 and 6,688.41

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Solution

The third proportional to 3,122.09 and 6,688.41 is: 14,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.09 : 6,688.41 = 6,688.41 : x
  2. Step 2: Convert to fraction form
    3,122.09/6,688.41 = 6,688.41/x
  3. Step 3: Cross multiply
    3,122.09x = 6,688.41 × 6,688.41
  4. Step 4: Simplify right side
    3,122.09x = 44,734,778.17
  5. Step 5: Solve for x
    x = 44,734,778.17/3,122.09
  6. Step 6: Final answer
    x = 14,328.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.