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Finding the Third Proportional to 4,055.91 and 8,759.81

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Solution

The third proportional to 4,055.91 and 8,759.81 is: 18,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.91 : 8,759.81 = 8,759.81 : x
  2. Step 2: Convert to fraction form
    4,055.91/8,759.81 = 8,759.81/x
  3. Step 3: Cross multiply
    4,055.91x = 8,759.81 × 8,759.81
  4. Step 4: Simplify right side
    4,055.91x = 76,734,315.04
  5. Step 5: Solve for x
    x = 76,734,315.04/4,055.91
  6. Step 6: Final answer
    x = 18,919.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.