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Finding the Third Proportional to 297,236 and 640,912

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Solution

The third proportional to 297,236 and 640,912 is: 1,381,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,236 : 640,912 = 640,912 : x
  2. Step 2: Convert to fraction form
    297,236/640,912 = 640,912/x
  3. Step 3: Cross multiply
    297,236x = 640,912 × 640,912
  4. Step 4: Simplify right side
    297,236x = 410,768,191,744
  5. Step 5: Solve for x
    x = 410,768,191,744/297,236
  6. Step 6: Final answer
    x = 1,381,959.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.