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Finding the Third Proportional to 3,290.06 and 6,712.31

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Solution

The third proportional to 3,290.06 and 6,712.31 is: 13,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.06 : 6,712.31 = 6,712.31 : x
  2. Step 2: Convert to fraction form
    3,290.06/6,712.31 = 6,712.31/x
  3. Step 3: Cross multiply
    3,290.06x = 6,712.31 × 6,712.31
  4. Step 4: Simplify right side
    3,290.06x = 45,055,139.10
  5. Step 5: Solve for x
    x = 45,055,139.10/3,290.06
  6. Step 6: Final answer
    x = 13,694.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.