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Finding the Third Proportional to 120,404 and 263,645

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Solution

The third proportional to 120,404 and 263,645 is: 577,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,404 : 263,645 = 263,645 : x
  2. Step 2: Convert to fraction form
    120,404/263,645 = 263,645/x
  3. Step 3: Cross multiply
    120,404x = 263,645 × 263,645
  4. Step 4: Simplify right side
    120,404x = 69,508,686,025
  5. Step 5: Solve for x
    x = 69,508,686,025/120,404
  6. Step 6: Final answer
    x = 577,295.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.