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Finding the Third Proportional to 499,990 and 774,394

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Solution

The third proportional to 499,990 and 774,394 is: 1,199,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,990 : 774,394 = 774,394 : x
  2. Step 2: Convert to fraction form
    499,990/774,394 = 774,394/x
  3. Step 3: Cross multiply
    499,990x = 774,394 × 774,394
  4. Step 4: Simplify right side
    499,990x = 599,686,067,236
  5. Step 5: Solve for x
    x = 599,686,067,236/499,990
  6. Step 6: Final answer
    x = 1,199,396.12

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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.