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Finding the Third Proportional to 80,739 and 173,817

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Solution

The third proportional to 80,739 and 173,817 is: 374,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,739 : 173,817 = 173,817 : x
  2. Step 2: Convert to fraction form
    80,739/173,817 = 173,817/x
  3. Step 3: Cross multiply
    80,739x = 173,817 × 173,817
  4. Step 4: Simplify right side
    80,739x = 30,212,349,489
  5. Step 5: Solve for x
    x = 30,212,349,489/80,739
  6. Step 6: Final answer
    x = 374,197.72

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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.