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Finding the Third Proportional to 4,135.50 and 8,919.38

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Solution

The third proportional to 4,135.50 and 8,919.38 is: 19,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.50 : 8,919.38 = 8,919.38 : x
  2. Step 2: Convert to fraction form
    4,135.50/8,919.38 = 8,919.38/x
  3. Step 3: Cross multiply
    4,135.50x = 8,919.38 × 8,919.38
  4. Step 4: Simplify right side
    4,135.50x = 79,555,250.39
  5. Step 5: Solve for x
    x = 79,555,250.39/4,135.50
  6. Step 6: Final answer
    x = 19,237.15

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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.