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Finding the Third Proportional to 548,530 and 828,643

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Solution

The third proportional to 548,530 and 828,643 is: 1,251,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,530 : 828,643 = 828,643 : x
  2. Step 2: Convert to fraction form
    548,530/828,643 = 828,643/x
  3. Step 3: Cross multiply
    548,530x = 828,643 × 828,643
  4. Step 4: Simplify right side
    548,530x = 686,649,221,449
  5. Step 5: Solve for x
    x = 686,649,221,449/548,530
  6. Step 6: Final answer
    x = 1,251,798.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.