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Finding the Third Proportional to 297,880 and 648,288

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Solution

The third proportional to 297,880 and 648,288 is: 1,410,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,880 : 648,288 = 648,288 : x
  2. Step 2: Convert to fraction form
    297,880/648,288 = 648,288/x
  3. Step 3: Cross multiply
    297,880x = 648,288 × 648,288
  4. Step 4: Simplify right side
    297,880x = 420,277,330,944
  5. Step 5: Solve for x
    x = 420,277,330,944/297,880
  6. Step 6: Final answer
    x = 1,410,894.76

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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.