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Finding the Third Proportional to 129,666 and 189,828

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Solution

The third proportional to 129,666 and 189,828 is: 277,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,666 : 189,828 = 189,828 : x
  2. Step 2: Convert to fraction form
    129,666/189,828 = 189,828/x
  3. Step 3: Cross multiply
    129,666x = 189,828 × 189,828
  4. Step 4: Simplify right side
    129,666x = 36,034,669,584
  5. Step 5: Solve for x
    x = 36,034,669,584/129,666
  6. Step 6: Final answer
    x = 277,903.76

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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.