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Finding the Third Proportional to 7,905.09 and 17,128.97

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Solution

The third proportional to 7,905.09 and 17,128.97 is: 37,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.09 : 17,128.97 = 17,128.97 : x
  2. Step 2: Convert to fraction form
    7,905.09/17,128.97 = 17,128.97/x
  3. Step 3: Cross multiply
    7,905.09x = 17,128.97 × 17,128.97
  4. Step 4: Simplify right side
    7,905.09x = 293,401,570.44
  5. Step 5: Solve for x
    x = 293,401,570.44/7,905.09
  6. Step 6: Final answer
    x = 37,115.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.