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Finding the Third Proportional to 300,860 and 660,773

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Solution

The third proportional to 300,860 and 660,773 is: 1,451,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,860 : 660,773 = 660,773 : x
  2. Step 2: Convert to fraction form
    300,860/660,773 = 660,773/x
  3. Step 3: Cross multiply
    300,860x = 660,773 × 660,773
  4. Step 4: Simplify right side
    300,860x = 436,620,957,529
  5. Step 5: Solve for x
    x = 436,620,957,529/300,860
  6. Step 6: Final answer
    x = 1,451,242.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.