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Finding the Third Proportional to 129,670 and 189,834

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Solution

The third proportional to 129,670 and 189,834 is: 277,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,670 : 189,834 = 189,834 : x
  2. Step 2: Convert to fraction form
    129,670/189,834 = 189,834/x
  3. Step 3: Cross multiply
    129,670x = 189,834 × 189,834
  4. Step 4: Simplify right side
    129,670x = 36,036,947,556
  5. Step 5: Solve for x
    x = 36,036,947,556/129,670
  6. Step 6: Final answer
    x = 277,912.76

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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.