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Finding the Third Proportional to 128,892.09 and 283,174.31

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Solution

The third proportional to 128,892.09 and 283,174.31 is: 622,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,892.09 : 283,174.31 = 283,174.31 : x
  2. Step 2: Convert to fraction form
    128,892.09/283,174.31 = 283,174.31/x
  3. Step 3: Cross multiply
    128,892.09x = 283,174.31 × 283,174.31
  4. Step 4: Simplify right side
    128,892.09x = 80,187,691,259.85
  5. Step 5: Solve for x
    x = 80,187,691,259.85/128,892.09
  6. Step 6: Final answer
    x = 622,130.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.