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Finding the Third Proportional to 6,331.50 and 13,067.75

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Solution

The third proportional to 6,331.50 and 13,067.75 is: 26,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.50 : 13,067.75 = 13,067.75 : x
  2. Step 2: Convert to fraction form
    6,331.50/13,067.75 = 13,067.75/x
  3. Step 3: Cross multiply
    6,331.50x = 13,067.75 × 13,067.75
  4. Step 4: Simplify right side
    6,331.50x = 170,766,090.06
  5. Step 5: Solve for x
    x = 170,766,090.06/6,331.50
  6. Step 6: Final answer
    x = 26,970.87

Related Problems

Find third proportional to 3,165.75 and 6,533.88
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1.5x scale

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.