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Finding the Third Proportional to 129,085 and 189,394

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Solution

The third proportional to 129,085 and 189,394 is: 277,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,085 : 189,394 = 189,394 : x
  2. Step 2: Convert to fraction form
    129,085/189,394 = 189,394/x
  3. Step 3: Cross multiply
    129,085x = 189,394 × 189,394
  4. Step 4: Simplify right side
    129,085x = 35,870,087,236
  5. Step 5: Solve for x
    x = 35,870,087,236/129,085
  6. Step 6: Final answer
    x = 277,879.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.