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Finding the Third Proportional to 11,489.63 and 18,434.25

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Solution

The third proportional to 11,489.63 and 18,434.25 is: 29,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.63 : 18,434.25 = 18,434.25 : x
  2. Step 2: Convert to fraction form
    11,489.63/18,434.25 = 18,434.25/x
  3. Step 3: Cross multiply
    11,489.63x = 18,434.25 × 18,434.25
  4. Step 4: Simplify right side
    11,489.63x = 339,821,573.06
  5. Step 5: Solve for x
    x = 339,821,573.06/11,489.63
  6. Step 6: Final answer
    x = 29,576.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.