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Finding the Third Proportional to 263,810 and 409,100

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Solution

The third proportional to 263,810 and 409,100 is: 634,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,810 : 409,100 = 409,100 : x
  2. Step 2: Convert to fraction form
    263,810/409,100 = 409,100/x
  3. Step 3: Cross multiply
    263,810x = 409,100 × 409,100
  4. Step 4: Simplify right side
    263,810x = 167,362,810,000
  5. Step 5: Solve for x
    x = 167,362,810,000/263,810
  6. Step 6: Final answer
    x = 634,406.62

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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.