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Finding the Third Proportional to 3,494.07 and 7,420.64

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Solution

The third proportional to 3,494.07 and 7,420.64 is: 15,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.07 : 7,420.64 = 7,420.64 : x
  2. Step 2: Convert to fraction form
    3,494.07/7,420.64 = 7,420.64/x
  3. Step 3: Cross multiply
    3,494.07x = 7,420.64 × 7,420.64
  4. Step 4: Simplify right side
    3,494.07x = 55,065,842.06
  5. Step 5: Solve for x
    x = 55,065,842.06/3,494.07
  6. Step 6: Final answer
    x = 15,759.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.