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Finding the Third Proportional to 283,900 and 625,406

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Solution

The third proportional to 283,900 and 625,406 is: 1,377,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,900 : 625,406 = 625,406 : x
  2. Step 2: Convert to fraction form
    283,900/625,406 = 625,406/x
  3. Step 3: Cross multiply
    283,900x = 625,406 × 625,406
  4. Step 4: Simplify right side
    283,900x = 391,132,664,836
  5. Step 5: Solve for x
    x = 391,132,664,836/283,900
  6. Step 6: Final answer
    x = 1,377,712.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.