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Finding the Third Proportional to 554,544 and 828,120

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Solution

The third proportional to 554,544 and 828,120 is: 1,236,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,544 : 828,120 = 828,120 : x
  2. Step 2: Convert to fraction form
    554,544/828,120 = 828,120/x
  3. Step 3: Cross multiply
    554,544x = 828,120 × 828,120
  4. Step 4: Simplify right side
    554,544x = 685,782,734,400
  5. Step 5: Solve for x
    x = 685,782,734,400/554,544
  6. Step 6: Final answer
    x = 1,236,660.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.