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Finding the Third Proportional to 297,876 and 638,412

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Solution

The third proportional to 297,876 and 638,412 is: 1,368,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,876 : 638,412 = 638,412 : x
  2. Step 2: Convert to fraction form
    297,876/638,412 = 638,412/x
  3. Step 3: Cross multiply
    297,876x = 638,412 × 638,412
  4. Step 4: Simplify right side
    297,876x = 407,569,881,744
  5. Step 5: Solve for x
    x = 407,569,881,744/297,876
  6. Step 6: Final answer
    x = 1,368,253.51

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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.