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Finding the Third Proportional to 297,915 and 638,469

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Solution

The third proportional to 297,915 and 638,469 is: 1,368,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,915 : 638,469 = 638,469 : x
  2. Step 2: Convert to fraction form
    297,915/638,469 = 638,469/x
  3. Step 3: Cross multiply
    297,915x = 638,469 × 638,469
  4. Step 4: Simplify right side
    297,915x = 407,642,663,961
  5. Step 5: Solve for x
    x = 407,642,663,961/297,915
  6. Step 6: Final answer
    x = 1,368,318.69

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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.