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Finding the Third Proportional to 361,035 and 782,271

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Solution

The third proportional to 361,035 and 782,271 is: 1,694,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,035 : 782,271 = 782,271 : x
  2. Step 2: Convert to fraction form
    361,035/782,271 = 782,271/x
  3. Step 3: Cross multiply
    361,035x = 782,271 × 782,271
  4. Step 4: Simplify right side
    361,035x = 611,947,917,441
  5. Step 5: Solve for x
    x = 611,947,917,441/361,035
  6. Step 6: Final answer
    x = 1,694,982.25

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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.