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Finding the Third Proportional to 83,979 and 177,435

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Solution

The third proportional to 83,979 and 177,435 is: 374,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,979 : 177,435 = 177,435 : x
  2. Step 2: Convert to fraction form
    83,979/177,435 = 177,435/x
  3. Step 3: Cross multiply
    83,979x = 177,435 × 177,435
  4. Step 4: Simplify right side
    83,979x = 31,483,179,225
  5. Step 5: Solve for x
    x = 31,483,179,225/83,979
  6. Step 6: Final answer
    x = 374,893.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.