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Finding the Third Proportional to 263,226 and 423,909

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Solution

The third proportional to 263,226 and 423,909 is: 682,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,226 : 423,909 = 423,909 : x
  2. Step 2: Convert to fraction form
    263,226/423,909 = 423,909/x
  3. Step 3: Cross multiply
    263,226x = 423,909 × 423,909
  4. Step 4: Simplify right side
    263,226x = 179,698,840,281
  5. Step 5: Solve for x
    x = 179,698,840,281/263,226
  6. Step 6: Final answer
    x = 682,678.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.