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Finding the Third Proportional to 548,534 and 828,649

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Solution

The third proportional to 548,534 and 828,649 is: 1,251,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,534 : 828,649 = 828,649 : x
  2. Step 2: Convert to fraction form
    548,534/828,649 = 828,649/x
  3. Step 3: Cross multiply
    548,534x = 828,649 × 828,649
  4. Step 4: Simplify right side
    548,534x = 686,659,165,201
  5. Step 5: Solve for x
    x = 686,659,165,201/548,534
  6. Step 6: Final answer
    x = 1,251,807.85

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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.