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Finding the Third Proportional to 361,104 and 782,418

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Solution

The third proportional to 361,104 and 782,418 is: 1,695,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104 : 782,418 = 782,418 : x
  2. Step 2: Convert to fraction form
    361,104/782,418 = 782,418/x
  3. Step 3: Cross multiply
    361,104x = 782,418 × 782,418
  4. Step 4: Simplify right side
    361,104x = 612,177,926,724
  5. Step 5: Solve for x
    x = 612,177,926,724/361,104
  6. Step 6: Final answer
    x = 1,695,295.34

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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.