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Finding the Third Proportional to 263,619 and 408,537

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Solution

The third proportional to 263,619 and 408,537 is: 633,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,619 : 408,537 = 408,537 : x
  2. Step 2: Convert to fraction form
    263,619/408,537 = 408,537/x
  3. Step 3: Cross multiply
    263,619x = 408,537 × 408,537
  4. Step 4: Simplify right side
    263,619x = 166,902,480,369
  5. Step 5: Solve for x
    x = 166,902,480,369/263,619
  6. Step 6: Final answer
    x = 633,120.07

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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.