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Finding the Third Proportional to 499,858 and 774,208

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Solution

The third proportional to 499,858 and 774,208 is: 1,199,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,858 : 774,208 = 774,208 : x
  2. Step 2: Convert to fraction form
    499,858/774,208 = 774,208/x
  3. Step 3: Cross multiply
    499,858x = 774,208 × 774,208
  4. Step 4: Simplify right side
    499,858x = 599,398,027,264
  5. Step 5: Solve for x
    x = 599,398,027,264/499,858
  6. Step 6: Final answer
    x = 1,199,136.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.