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Finding the Third Proportional to 296,606 and 639,869

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Solution

The third proportional to 296,606 and 639,869 is: 1,380,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,606 : 639,869 = 639,869 : x
  2. Step 2: Convert to fraction form
    296,606/639,869 = 639,869/x
  3. Step 3: Cross multiply
    296,606x = 639,869 × 639,869
  4. Step 4: Simplify right side
    296,606x = 409,432,337,161
  5. Step 5: Solve for x
    x = 409,432,337,161/296,606
  6. Step 6: Final answer
    x = 1,380,391.28

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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.