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Finding the Third Proportional to 133,940 and 281,672

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Solution

The third proportional to 133,940 and 281,672 is: 592,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,940 : 281,672 = 281,672 : x
  2. Step 2: Convert to fraction form
    133,940/281,672 = 281,672/x
  3. Step 3: Cross multiply
    133,940x = 281,672 × 281,672
  4. Step 4: Simplify right side
    133,940x = 79,339,115,584
  5. Step 5: Solve for x
    x = 79,339,115,584/133,940
  6. Step 6: Final answer
    x = 592,348.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.