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Finding the Third Proportional to 263,716 and 408,222

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Solution

The third proportional to 263,716 and 408,222 is: 631,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,716 : 408,222 = 408,222 : x
  2. Step 2: Convert to fraction form
    263,716/408,222 = 408,222/x
  3. Step 3: Cross multiply
    263,716x = 408,222 × 408,222
  4. Step 4: Simplify right side
    263,716x = 166,645,201,284
  5. Step 5: Solve for x
    x = 166,645,201,284/263,716
  6. Step 6: Final answer
    x = 631,911.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.