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Finding the Third Proportional to 8,814.09 and 18,858.42

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Solution

The third proportional to 8,814.09 and 18,858.42 is: 40,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.09 : 18,858.42 = 18,858.42 : x
  2. Step 2: Convert to fraction form
    8,814.09/18,858.42 = 18,858.42/x
  3. Step 3: Cross multiply
    8,814.09x = 18,858.42 × 18,858.42
  4. Step 4: Simplify right side
    8,814.09x = 355,640,075.62
  5. Step 5: Solve for x
    x = 355,640,075.62/8,814.09
  6. Step 6: Final answer
    x = 40,349.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.