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Finding the Third Proportional to 2,986.88 and 6,140.81

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Solution

The third proportional to 2,986.88 and 6,140.81 is: 12,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.88 : 6,140.81 = 6,140.81 : x
  2. Step 2: Convert to fraction form
    2,986.88/6,140.81 = 6,140.81/x
  3. Step 3: Cross multiply
    2,986.88x = 6,140.81 × 6,140.81
  4. Step 4: Simplify right side
    2,986.88x = 37,709,578.16
  5. Step 5: Solve for x
    x = 37,709,578.16/2,986.88
  6. Step 6: Final answer
    x = 12,625.09

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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.