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Finding the Third Proportional to 170,609 and 367,138

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Solution

The third proportional to 170,609 and 367,138 is: 790,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,609 : 367,138 = 367,138 : x
  2. Step 2: Convert to fraction form
    170,609/367,138 = 367,138/x
  3. Step 3: Cross multiply
    170,609x = 367,138 × 367,138
  4. Step 4: Simplify right side
    170,609x = 134,790,311,044
  5. Step 5: Solve for x
    x = 134,790,311,044/170,609
  6. Step 6: Final answer
    x = 790,053.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.