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Finding the Third Proportional to 3,147.47 and 6,618.94

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Solution

The third proportional to 3,147.47 and 6,618.94 is: 13,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.47 : 6,618.94 = 6,618.94 : x
  2. Step 2: Convert to fraction form
    3,147.47/6,618.94 = 6,618.94/x
  3. Step 3: Cross multiply
    3,147.47x = 6,618.94 × 6,618.94
  4. Step 4: Simplify right side
    3,147.47x = 43,810,333.63
  5. Step 5: Solve for x
    x = 43,810,333.63/3,147.47
  6. Step 6: Final answer
    x = 13,919.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.