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Finding the Third Proportional to 297,928 and 638,496

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Solution

The third proportional to 297,928 and 638,496 is: 1,368,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,928 : 638,496 = 638,496 : x
  2. Step 2: Convert to fraction form
    297,928/638,496 = 638,496/x
  3. Step 3: Cross multiply
    297,928x = 638,496 × 638,496
  4. Step 4: Simplify right side
    297,928x = 407,677,142,016
  5. Step 5: Solve for x
    x = 407,677,142,016/297,928
  6. Step 6: Final answer
    x = 1,368,374.71

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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.