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Finding the Third Proportional to 271,856 and 639,685

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Solution

The third proportional to 271,856 and 639,685 is: 1,505,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856 : 639,685 = 639,685 : x
  2. Step 2: Convert to fraction form
    271,856/639,685 = 639,685/x
  3. Step 3: Cross multiply
    271,856x = 639,685 × 639,685
  4. Step 4: Simplify right side
    271,856x = 409,196,899,225
  5. Step 5: Solve for x
    x = 409,196,899,225/271,856
  6. Step 6: Final answer
    x = 1,505,197.23

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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.