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Finding the Third Proportional to 129,769 and 189,631

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Solution

The third proportional to 129,769 and 189,631 is: 277,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,769 : 189,631 = 189,631 : x
  2. Step 2: Convert to fraction form
    129,769/189,631 = 189,631/x
  3. Step 3: Cross multiply
    129,769x = 189,631 × 189,631
  4. Step 4: Simplify right side
    129,769x = 35,959,916,161
  5. Step 5: Solve for x
    x = 35,959,916,161/129,769
  6. Step 6: Final answer
    x = 277,107.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.