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Finding the Third Proportional to 263,169 and 408,240

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Solution

The third proportional to 263,169 and 408,240 is: 633,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,169 : 408,240 = 408,240 : x
  2. Step 2: Convert to fraction form
    263,169/408,240 = 408,240/x
  3. Step 3: Cross multiply
    263,169x = 408,240 × 408,240
  4. Step 4: Simplify right side
    263,169x = 166,659,897,600
  5. Step 5: Solve for x
    x = 166,659,897,600/263,169
  6. Step 6: Final answer
    x = 633,280.89

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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.