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Finding the Third Proportional to 116,578 and 209,165

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Solution

The third proportional to 116,578 and 209,165 is: 375,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,578 : 209,165 = 209,165 : x
  2. Step 2: Convert to fraction form
    116,578/209,165 = 209,165/x
  3. Step 3: Cross multiply
    116,578x = 209,165 × 209,165
  4. Step 4: Simplify right side
    116,578x = 43,749,997,225
  5. Step 5: Solve for x
    x = 43,749,997,225/116,578
  6. Step 6: Final answer
    x = 375,285.19

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.