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Finding the Third Proportional to 728,958.38 and 1,619,708.63

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Solution

The third proportional to 728,958.38 and 1,619,708.63 is: 3,598,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,958.38 : 1,619,708.63 = 1,619,708.63 : x
  2. Step 2: Convert to fraction form
    728,958.38/1,619,708.63 = 1,619,708.63/x
  3. Step 3: Cross multiply
    728,958.38x = 1,619,708.63 × 1,619,708.63
  4. Step 4: Simplify right side
    728,958.38x = 2,623,456,029,899.39
  5. Step 5: Solve for x
    x = 2,623,456,029,899.39/728,958.38
  6. Step 6: Final answer
    x = 3,598,910.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.