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Finding the Third Proportional to 133,977 and 281,742

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Solution

The third proportional to 133,977 and 281,742 is: 592,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977 : 281,742 = 281,742 : x
  2. Step 2: Convert to fraction form
    133,977/281,742 = 281,742/x
  3. Step 3: Cross multiply
    133,977x = 281,742 × 281,742
  4. Step 4: Simplify right side
    133,977x = 79,378,554,564
  5. Step 5: Solve for x
    x = 79,378,554,564/133,977
  6. Step 6: Final answer
    x = 592,478.97

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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.