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Finding the Third Proportional to 81,834 and 129,378

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Solution

The third proportional to 81,834 and 129,378 is: 204,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,834 : 129,378 = 129,378 : x
  2. Step 2: Convert to fraction form
    81,834/129,378 = 129,378/x
  3. Step 3: Cross multiply
    81,834x = 129,378 × 129,378
  4. Step 4: Simplify right side
    81,834x = 16,738,666,884
  5. Step 5: Solve for x
    x = 16,738,666,884/81,834
  6. Step 6: Final answer
    x = 204,544.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.