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Finding the Third Proportional to 81,072 and 129,512

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Solution

The third proportional to 81,072 and 129,512 is: 206,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072 : 129,512 = 129,512 : x
  2. Step 2: Convert to fraction form
    81,072/129,512 = 129,512/x
  3. Step 3: Cross multiply
    81,072x = 129,512 × 129,512
  4. Step 4: Simplify right side
    81,072x = 16,773,358,144
  5. Step 5: Solve for x
    x = 16,773,358,144/81,072
  6. Step 6: Final answer
    x = 206,894.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.