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Finding the Third Proportional to 271,255.50 and 409,341

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Solution

The third proportional to 271,255.50 and 409,341 is: 617,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,255.50 : 409,341 = 409,341 : x
  2. Step 2: Convert to fraction form
    271,255.50/409,341 = 409,341/x
  3. Step 3: Cross multiply
    271,255.50x = 409,341 × 409,341
  4. Step 4: Simplify right side
    271,255.50x = 167,560,054,281
  5. Step 5: Solve for x
    x = 167,560,054,281/271,255.50
  6. Step 6: Final answer
    x = 617,720.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.