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Finding the Third Proportional to 263,885.50 and 408,781

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Solution

The third proportional to 263,885.50 and 408,781 is: 633,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,885.50 : 408,781 = 408,781 : x
  2. Step 2: Convert to fraction form
    263,885.50/408,781 = 408,781/x
  3. Step 3: Cross multiply
    263,885.50x = 408,781 × 408,781
  4. Step 4: Simplify right side
    263,885.50x = 167,101,905,961
  5. Step 5: Solve for x
    x = 167,101,905,961/263,885.50
  6. Step 6: Final answer
    x = 633,236.41

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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.