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Finding the Third Proportional to 271,085 and 406,628

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Solution

The third proportional to 271,085 and 406,628 is: 609,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,085 : 406,628 = 406,628 : x
  2. Step 2: Convert to fraction form
    271,085/406,628 = 406,628/x
  3. Step 3: Cross multiply
    271,085x = 406,628 × 406,628
  4. Step 4: Simplify right side
    271,085x = 165,346,330,384
  5. Step 5: Solve for x
    x = 165,346,330,384/271,085
  6. Step 6: Final answer
    x = 609,942.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.