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Finding the Third Proportional to 172,917 and 378,639

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Solution

The third proportional to 172,917 and 378,639 is: 829,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,917 : 378,639 = 378,639 : x
  2. Step 2: Convert to fraction form
    172,917/378,639 = 378,639/x
  3. Step 3: Cross multiply
    172,917x = 378,639 × 378,639
  4. Step 4: Simplify right side
    172,917x = 143,367,492,321
  5. Step 5: Solve for x
    x = 143,367,492,321/172,917
  6. Step 6: Final answer
    x = 829,111.61

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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.