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Finding the Third Proportional to 271,558 and 411,853

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Solution

The third proportional to 271,558 and 411,853 is: 624,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,558 : 411,853 = 411,853 : x
  2. Step 2: Convert to fraction form
    271,558/411,853 = 411,853/x
  3. Step 3: Cross multiply
    271,558x = 411,853 × 411,853
  4. Step 4: Simplify right side
    271,558x = 169,622,893,609
  5. Step 5: Solve for x
    x = 169,622,893,609/271,558
  6. Step 6: Final answer
    x = 624,628.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.