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Finding the Third Proportional to 3,109.69 and 6,720.38

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Solution

The third proportional to 3,109.69 and 6,720.38 is: 14,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.69 : 6,720.38 = 6,720.38 : x
  2. Step 2: Convert to fraction form
    3,109.69/6,720.38 = 6,720.38/x
  3. Step 3: Cross multiply
    3,109.69x = 6,720.38 × 6,720.38
  4. Step 4: Simplify right side
    3,109.69x = 45,163,440.14
  5. Step 5: Solve for x
    x = 45,163,440.14/3,109.69
  6. Step 6: Final answer
    x = 14,523.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.