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Finding the Third Proportional to 79,791 and 172,879

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Solution

The third proportional to 79,791 and 172,879 is: 374,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,791 : 172,879 = 172,879 : x
  2. Step 2: Convert to fraction form
    79,791/172,879 = 172,879/x
  3. Step 3: Cross multiply
    79,791x = 172,879 × 172,879
  4. Step 4: Simplify right side
    79,791x = 29,887,148,641
  5. Step 5: Solve for x
    x = 29,887,148,641/79,791
  6. Step 6: Final answer
    x = 374,567.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.