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Finding the Third Proportional to 76,399 and 170,293

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Solution

The third proportional to 76,399 and 170,293 is: 379,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,399 : 170,293 = 170,293 : x
  2. Step 2: Convert to fraction form
    76,399/170,293 = 170,293/x
  3. Step 3: Cross multiply
    76,399x = 170,293 × 170,293
  4. Step 4: Simplify right side
    76,399x = 28,999,705,849
  5. Step 5: Solve for x
    x = 28,999,705,849/76,399
  6. Step 6: Final answer
    x = 379,582.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.