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Finding the Third Proportional to 280,401 and 676,023

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Solution

The third proportional to 280,401 and 676,023 is: 1,629,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,401 : 676,023 = 676,023 : x
  2. Step 2: Convert to fraction form
    280,401/676,023 = 676,023/x
  3. Step 3: Cross multiply
    280,401x = 676,023 × 676,023
  4. Step 4: Simplify right side
    280,401x = 457,007,096,529
  5. Step 5: Solve for x
    x = 457,007,096,529/280,401
  6. Step 6: Final answer
    x = 1,629,834.05

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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.