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Finding the Third Proportional to 515,448 and 774,126

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Solution

The third proportional to 515,448 and 774,126 is: 1,162,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,448 : 774,126 = 774,126 : x
  2. Step 2: Convert to fraction form
    515,448/774,126 = 774,126/x
  3. Step 3: Cross multiply
    515,448x = 774,126 × 774,126
  4. Step 4: Simplify right side
    515,448x = 599,271,063,876
  5. Step 5: Solve for x
    x = 599,271,063,876/515,448
  6. Step 6: Final answer
    x = 1,162,621.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.