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Finding the Third Proportional to 548,514 and 828,619

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Solution

The third proportional to 548,514 and 828,619 is: 1,251,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,514 : 828,619 = 828,619 : x
  2. Step 2: Convert to fraction form
    548,514/828,619 = 828,619/x
  3. Step 3: Cross multiply
    548,514x = 828,619 × 828,619
  4. Step 4: Simplify right side
    548,514x = 686,609,447,161
  5. Step 5: Solve for x
    x = 686,609,447,161/548,514
  6. Step 6: Final answer
    x = 1,251,762.85

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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.