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Finding the Third Proportional to 79,958 and 172,221

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Solution

The third proportional to 79,958 and 172,221 is: 370,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,958 : 172,221 = 172,221 : x
  2. Step 2: Convert to fraction form
    79,958/172,221 = 172,221/x
  3. Step 3: Cross multiply
    79,958x = 172,221 × 172,221
  4. Step 4: Simplify right side
    79,958x = 29,660,072,841
  5. Step 5: Solve for x
    x = 29,660,072,841/79,958
  6. Step 6: Final answer
    x = 370,945.66

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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.