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Finding the Third Proportional to 305,615 and 663,775

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Solution

The third proportional to 305,615 and 663,775 is: 1,441,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,615 : 663,775 = 663,775 : x
  2. Step 2: Convert to fraction form
    305,615/663,775 = 663,775/x
  3. Step 3: Cross multiply
    305,615x = 663,775 × 663,775
  4. Step 4: Simplify right side
    305,615x = 440,597,250,625
  5. Step 5: Solve for x
    x = 440,597,250,625/305,615
  6. Step 6: Final answer
    x = 1,441,674.17

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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.