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Finding the Third Proportional to 297,904 and 638,448

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Solution

The third proportional to 297,904 and 638,448 is: 1,368,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904 : 638,448 = 638,448 : x
  2. Step 2: Convert to fraction form
    297,904/638,448 = 638,448/x
  3. Step 3: Cross multiply
    297,904x = 638,448 × 638,448
  4. Step 4: Simplify right side
    297,904x = 407,615,848,704
  5. Step 5: Solve for x
    x = 407,615,848,704/297,904
  6. Step 6: Final answer
    x = 1,368,279.21

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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.