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Finding the Third Proportional to 9,137.81 and 18,993.66

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Solution

The third proportional to 9,137.81 and 18,993.66 is: 39,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.81 : 18,993.66 = 18,993.66 : x
  2. Step 2: Convert to fraction form
    9,137.81/18,993.66 = 18,993.66/x
  3. Step 3: Cross multiply
    9,137.81x = 18,993.66 × 18,993.66
  4. Step 4: Simplify right side
    9,137.81x = 360,758,977.74
  5. Step 5: Solve for x
    x = 360,758,977.74/9,137.81
  6. Step 6: Final answer
    x = 39,479.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.