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Finding the Third Proportional to 84,680 and 129,936

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Solution

The third proportional to 84,680 and 129,936 is: 199,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,680 : 129,936 = 129,936 : x
  2. Step 2: Convert to fraction form
    84,680/129,936 = 129,936/x
  3. Step 3: Cross multiply
    84,680x = 129,936 × 129,936
  4. Step 4: Simplify right side
    84,680x = 16,883,364,096
  5. Step 5: Solve for x
    x = 16,883,364,096/84,680
  6. Step 6: Final answer
    x = 199,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.