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Finding the Third Proportional to 172,942 and 378,689

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Solution

The third proportional to 172,942 and 378,689 is: 829,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942 : 378,689 = 378,689 : x
  2. Step 2: Convert to fraction form
    172,942/378,689 = 378,689/x
  3. Step 3: Cross multiply
    172,942x = 378,689 × 378,689
  4. Step 4: Simplify right side
    172,942x = 143,405,358,721
  5. Step 5: Solve for x
    x = 143,405,358,721/172,942
  6. Step 6: Final answer
    x = 829,210.71

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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.