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Finding the Third Proportional to 172,938 and 378,682

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Solution

The third proportional to 172,938 and 378,682 is: 829,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,938 : 378,682 = 378,682 : x
  2. Step 2: Convert to fraction form
    172,938/378,682 = 378,682/x
  3. Step 3: Cross multiply
    172,938x = 378,682 × 378,682
  4. Step 4: Simplify right side
    172,938x = 143,400,057,124
  5. Step 5: Solve for x
    x = 143,400,057,124/172,938
  6. Step 6: Final answer
    x = 829,199.23

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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.