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Finding the Third Proportional to 133,333 and 281,654

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Solution

The third proportional to 133,333 and 281,654 is: 594,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,333 : 281,654 = 281,654 : x
  2. Step 2: Convert to fraction form
    133,333/281,654 = 281,654/x
  3. Step 3: Cross multiply
    133,333x = 281,654 × 281,654
  4. Step 4: Simplify right side
    133,333x = 79,328,975,716
  5. Step 5: Solve for x
    x = 79,328,975,716/133,333
  6. Step 6: Final answer
    x = 594,968.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.