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Finding the Third Proportional to 271,411 and 421,779

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Solution

The third proportional to 271,411 and 421,779 is: 655,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411 : 421,779 = 421,779 : x
  2. Step 2: Convert to fraction form
    271,411/421,779 = 421,779/x
  3. Step 3: Cross multiply
    271,411x = 421,779 × 421,779
  4. Step 4: Simplify right side
    271,411x = 177,897,524,841
  5. Step 5: Solve for x
    x = 177,897,524,841/271,411
  6. Step 6: Final answer
    x = 655,454.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.