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Finding the Third Proportional to 297,900 and 638,441

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Solution

The third proportional to 297,900 and 638,441 is: 1,368,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,900 : 638,441 = 638,441 : x
  2. Step 2: Convert to fraction form
    297,900/638,441 = 638,441/x
  3. Step 3: Cross multiply
    297,900x = 638,441 × 638,441
  4. Step 4: Simplify right side
    297,900x = 407,606,910,481
  5. Step 5: Solve for x
    x = 407,606,910,481/297,900
  6. Step 6: Final answer
    x = 1,368,267.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.