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Finding the Third Proportional to 271,080 and 406,620

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Solution

The third proportional to 271,080 and 406,620 is: 609,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,080 : 406,620 = 406,620 : x
  2. Step 2: Convert to fraction form
    271,080/406,620 = 406,620/x
  3. Step 3: Cross multiply
    271,080x = 406,620 × 406,620
  4. Step 4: Simplify right side
    271,080x = 165,339,824,400
  5. Step 5: Solve for x
    x = 165,339,824,400/271,080
  6. Step 6: Final answer
    x = 609,930

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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.