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Finding the Third Proportional to 280,403 and 676,028

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Solution

The third proportional to 280,403 and 676,028 is: 1,629,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,403 : 676,028 = 676,028 : x
  2. Step 2: Convert to fraction form
    280,403/676,028 = 676,028/x
  3. Step 3: Cross multiply
    280,403x = 676,028 × 676,028
  4. Step 4: Simplify right side
    280,403x = 457,013,856,784
  5. Step 5: Solve for x
    x = 457,013,856,784/280,403
  6. Step 6: Final answer
    x = 1,629,846.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.