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Finding the Third Proportional to 263,649 and 408,580.50

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Solution

The third proportional to 263,649 and 408,580.50 is: 633,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,649 : 408,580.50 = 408,580.50 : x
  2. Step 2: Convert to fraction form
    263,649/408,580.50 = 408,580.50/x
  3. Step 3: Cross multiply
    263,649x = 408,580.50 × 408,580.50
  4. Step 4: Simplify right side
    263,649x = 166,938,024,980.25
  5. Step 5: Solve for x
    x = 166,938,024,980.25/263,649
  6. Step 6: Final answer
    x = 633,182.85

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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.