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Finding the Third Proportional to 496,620 and 768,820

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Solution

The third proportional to 496,620 and 768,820 is: 1,190,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,620 : 768,820 = 768,820 : x
  2. Step 2: Convert to fraction form
    496,620/768,820 = 768,820/x
  3. Step 3: Cross multiply
    496,620x = 768,820 × 768,820
  4. Step 4: Simplify right side
    496,620x = 591,084,192,400
  5. Step 5: Solve for x
    x = 591,084,192,400/496,620
  6. Step 6: Final answer
    x = 1,190,214.23

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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.