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Finding the Third Proportional to 297,914 and 638,467

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Solution

The third proportional to 297,914 and 638,467 is: 1,368,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,914 : 638,467 = 638,467 : x
  2. Step 2: Convert to fraction form
    297,914/638,467 = 638,467/x
  3. Step 3: Cross multiply
    297,914x = 638,467 × 638,467
  4. Step 4: Simplify right side
    297,914x = 407,640,110,089
  5. Step 5: Solve for x
    x = 407,640,110,089/297,914
  6. Step 6: Final answer
    x = 1,368,314.72

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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.