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Finding the Third Proportional to 634,631 and 1,321,749

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Solution

The third proportional to 634,631 and 1,321,749 is: 2,752,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,631 : 1,321,749 = 1,321,749 : x
  2. Step 2: Convert to fraction form
    634,631/1,321,749 = 1,321,749/x
  3. Step 3: Cross multiply
    634,631x = 1,321,749 × 1,321,749
  4. Step 4: Simplify right side
    634,631x = 1,747,020,419,001
  5. Step 5: Solve for x
    x = 1,747,020,419,001/634,631
  6. Step 6: Final answer
    x = 2,752,812.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.