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Finding the Third Proportional to 297,876 and 648,168

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Solution

The third proportional to 297,876 and 648,168 is: 1,410,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,876 : 648,168 = 648,168 : x
  2. Step 2: Convert to fraction form
    297,876/648,168 = 648,168/x
  3. Step 3: Cross multiply
    297,876x = 648,168 × 648,168
  4. Step 4: Simplify right side
    297,876x = 420,121,756,224
  5. Step 5: Solve for x
    x = 420,121,756,224/297,876
  6. Step 6: Final answer
    x = 1,410,391.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.