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Finding the Third Proportional to 395,254.69 and 878,946.19

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Solution

The third proportional to 395,254.69 and 878,946.19 is: 1,954,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,254.69 : 878,946.19 = 878,946.19 : x
  2. Step 2: Convert to fraction form
    395,254.69/878,946.19 = 878,946.19/x
  3. Step 3: Cross multiply
    395,254.69x = 878,946.19 × 878,946.19
  4. Step 4: Simplify right side
    395,254.69x = 772,546,400,520.79
  5. Step 5: Solve for x
    x = 772,546,400,520.79/395,254.69
  6. Step 6: Final answer
    x = 1,954,553.42

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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.