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Finding the Third Proportional to 271,757 and 406,987

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Solution

The third proportional to 271,757 and 406,987 is: 609,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,757 : 406,987 = 406,987 : x
  2. Step 2: Convert to fraction form
    271,757/406,987 = 406,987/x
  3. Step 3: Cross multiply
    271,757x = 406,987 × 406,987
  4. Step 4: Simplify right side
    271,757x = 165,638,418,169
  5. Step 5: Solve for x
    x = 165,638,418,169/271,757
  6. Step 6: Final answer
    x = 609,509.30

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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.