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Finding the Third Proportional to 172,966 and 378,736

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Solution

The third proportional to 172,966 and 378,736 is: 829,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,966 : 378,736 = 378,736 : x
  2. Step 2: Convert to fraction form
    172,966/378,736 = 378,736/x
  3. Step 3: Cross multiply
    172,966x = 378,736 × 378,736
  4. Step 4: Simplify right side
    172,966x = 143,440,957,696
  5. Step 5: Solve for x
    x = 143,440,957,696/172,966
  6. Step 6: Final answer
    x = 829,301.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.