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Finding the Third Proportional to 366,939 and 788,131

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Solution

The third proportional to 366,939 and 788,131 is: 1,692,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,939 : 788,131 = 788,131 : x
  2. Step 2: Convert to fraction form
    366,939/788,131 = 788,131/x
  3. Step 3: Cross multiply
    366,939x = 788,131 × 788,131
  4. Step 4: Simplify right side
    366,939x = 621,150,473,161
  5. Step 5: Solve for x
    x = 621,150,473,161/366,939
  6. Step 6: Final answer
    x = 1,692,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.