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Finding the Third Proportional to 274,114 and 411,172

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Solution

The third proportional to 274,114 and 411,172 is: 616,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114 : 411,172 = 411,172 : x
  2. Step 2: Convert to fraction form
    274,114/411,172 = 411,172/x
  3. Step 3: Cross multiply
    274,114x = 411,172 × 411,172
  4. Step 4: Simplify right side
    274,114x = 169,062,413,584
  5. Step 5: Solve for x
    x = 169,062,413,584/274,114
  6. Step 6: Final answer
    x = 616,759.50

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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.