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Finding the Third Proportional to 3,109.13 and 6,400.69

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Solution

The third proportional to 3,109.13 and 6,400.69 is: 13,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.13 : 6,400.69 = 6,400.69 : x
  2. Step 2: Convert to fraction form
    3,109.13/6,400.69 = 6,400.69/x
  3. Step 3: Cross multiply
    3,109.13x = 6,400.69 × 6,400.69
  4. Step 4: Simplify right side
    3,109.13x = 40,968,800.47
  5. Step 5: Solve for x
    x = 40,968,800.47/3,109.13
  6. Step 6: Final answer
    x = 13,176.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.