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Finding the Third Proportional to 172,926 and 371,684

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Solution

The third proportional to 172,926 and 371,684 is: 798,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,926 : 371,684 = 371,684 : x
  2. Step 2: Convert to fraction form
    172,926/371,684 = 371,684/x
  3. Step 3: Cross multiply
    172,926x = 371,684 × 371,684
  4. Step 4: Simplify right side
    172,926x = 138,148,995,856
  5. Step 5: Solve for x
    x = 138,148,995,856/172,926
  6. Step 6: Final answer
    x = 798,890.83

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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.