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Finding the Third Proportional to 6,290.50 and 8,067.75

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Solution

The third proportional to 6,290.50 and 8,067.75 is: 10,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.50 : 8,067.75 = 8,067.75 : x
  2. Step 2: Convert to fraction form
    6,290.50/8,067.75 = 8,067.75/x
  3. Step 3: Cross multiply
    6,290.50x = 8,067.75 × 8,067.75
  4. Step 4: Simplify right side
    6,290.50x = 65,088,590.06
  5. Step 5: Solve for x
    x = 65,088,590.06/6,290.50
  6. Step 6: Final answer
    x = 10,347.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.