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Finding the Third Proportional to 79,063 and 172,873

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Solution

The third proportional to 79,063 and 172,873 is: 377,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,063 : 172,873 = 172,873 : x
  2. Step 2: Convert to fraction form
    79,063/172,873 = 172,873/x
  3. Step 3: Cross multiply
    79,063x = 172,873 × 172,873
  4. Step 4: Simplify right side
    79,063x = 29,885,074,129
  5. Step 5: Solve for x
    x = 29,885,074,129/79,063
  6. Step 6: Final answer
    x = 377,990.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.