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Finding the Third Proportional to 85,599 and 173,790

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Solution

The third proportional to 85,599 and 173,790 is: 352,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,599 : 173,790 = 173,790 : x
  2. Step 2: Convert to fraction form
    85,599/173,790 = 173,790/x
  3. Step 3: Cross multiply
    85,599x = 173,790 × 173,790
  4. Step 4: Simplify right side
    85,599x = 30,202,964,100
  5. Step 5: Solve for x
    x = 30,202,964,100/85,599
  6. Step 6: Final answer
    x = 352,842.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.