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Finding the Third Proportional to 496,689 and 768,907.50

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Solution

The third proportional to 496,689 and 768,907.50 is: 1,190,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,689 : 768,907.50 = 768,907.50 : x
  2. Step 2: Convert to fraction form
    496,689/768,907.50 = 768,907.50/x
  3. Step 3: Cross multiply
    496,689x = 768,907.50 × 768,907.50
  4. Step 4: Simplify right side
    496,689x = 591,218,743,556.25
  5. Step 5: Solve for x
    x = 591,218,743,556.25/496,689
  6. Step 6: Final answer
    x = 1,190,319.78

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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.