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Finding the Third Proportional to 354,990 and 764,106

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Solution

The third proportional to 354,990 and 764,106 is: 1,644,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,990 : 764,106 = 764,106 : x
  2. Step 2: Convert to fraction form
    354,990/764,106 = 764,106/x
  3. Step 3: Cross multiply
    354,990x = 764,106 × 764,106
  4. Step 4: Simplify right side
    354,990x = 583,857,979,236
  5. Step 5: Solve for x
    x = 583,857,979,236/354,990
  6. Step 6: Final answer
    x = 1,644,716.69

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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.