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Finding the Third Proportional to 499,992 and 774,397

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Solution

The third proportional to 499,992 and 774,397 is: 1,199,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,992 : 774,397 = 774,397 : x
  2. Step 2: Convert to fraction form
    499,992/774,397 = 774,397/x
  3. Step 3: Cross multiply
    499,992x = 774,397 × 774,397
  4. Step 4: Simplify right side
    499,992x = 599,690,713,609
  5. Step 5: Solve for x
    x = 599,690,713,609/499,992
  6. Step 6: Final answer
    x = 1,199,400.62

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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.