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Finding the Third Proportional to 3,968.58 and 6,278.77

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Solution

The third proportional to 3,968.58 and 6,278.77 is: 9,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.58 : 6,278.77 = 6,278.77 : x
  2. Step 2: Convert to fraction form
    3,968.58/6,278.77 = 6,278.77/x
  3. Step 3: Cross multiply
    3,968.58x = 6,278.77 × 6,278.77
  4. Step 4: Simplify right side
    3,968.58x = 39,422,897.77
  5. Step 5: Solve for x
    x = 39,422,897.77/3,968.58
  6. Step 6: Final answer
    x = 9,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.