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Finding the Third Proportional to 361,037 and 782,275

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Solution

The third proportional to 361,037 and 782,275 is: 1,694,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,037 : 782,275 = 782,275 : x
  2. Step 2: Convert to fraction form
    361,037/782,275 = 782,275/x
  3. Step 3: Cross multiply
    361,037x = 782,275 × 782,275
  4. Step 4: Simplify right side
    361,037x = 611,954,175,625
  5. Step 5: Solve for x
    x = 611,954,175,625/361,037
  6. Step 6: Final answer
    x = 1,694,990.20

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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.