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Finding the Third Proportional to 2,928.81 and 6,408.65

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Solution

The third proportional to 2,928.81 and 6,408.65 is: 14,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.81 : 6,408.65 = 6,408.65 : x
  2. Step 2: Convert to fraction form
    2,928.81/6,408.65 = 6,408.65/x
  3. Step 3: Cross multiply
    2,928.81x = 6,408.65 × 6,408.65
  4. Step 4: Simplify right side
    2,928.81x = 41,070,799.83
  5. Step 5: Solve for x
    x = 41,070,799.83/2,928.81
  6. Step 6: Final answer
    x = 14,023.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.