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Finding the Third Proportional to 84,450 and 133,717

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Solution

The third proportional to 84,450 and 133,717 is: 211,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,450 : 133,717 = 133,717 : x
  2. Step 2: Convert to fraction form
    84,450/133,717 = 133,717/x
  3. Step 3: Cross multiply
    84,450x = 133,717 × 133,717
  4. Step 4: Simplify right side
    84,450x = 17,880,236,089
  5. Step 5: Solve for x
    x = 17,880,236,089/84,450
  6. Step 6: Final answer
    x = 211,725.71

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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.