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Finding the Third Proportional to 548,520 and 828,628

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Solution

The third proportional to 548,520 and 828,628 is: 1,251,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,520 : 828,628 = 828,628 : x
  2. Step 2: Convert to fraction form
    548,520/828,628 = 828,628/x
  3. Step 3: Cross multiply
    548,520x = 828,628 × 828,628
  4. Step 4: Simplify right side
    548,520x = 686,624,362,384
  5. Step 5: Solve for x
    x = 686,624,362,384/548,520
  6. Step 6: Final answer
    x = 1,251,776.35

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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.