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Finding the Third Proportional to 271,858 and 639,690

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Solution

The third proportional to 271,858 and 639,690 is: 1,505,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,858 : 639,690 = 639,690 : x
  2. Step 2: Convert to fraction form
    271,858/639,690 = 639,690/x
  3. Step 3: Cross multiply
    271,858x = 639,690 × 639,690
  4. Step 4: Simplify right side
    271,858x = 409,203,296,100
  5. Step 5: Solve for x
    x = 409,203,296,100/271,858
  6. Step 6: Final answer
    x = 1,505,209.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.