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Finding the Third Proportional to 79,768 and 172,744

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Solution

The third proportional to 79,768 and 172,744 is: 374,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768 : 172,744 = 172,744 : x
  2. Step 2: Convert to fraction form
    79,768/172,744 = 172,744/x
  3. Step 3: Cross multiply
    79,768x = 172,744 × 172,744
  4. Step 4: Simplify right side
    79,768x = 29,840,489,536
  5. Step 5: Solve for x
    x = 29,840,489,536/79,768
  6. Step 6: Final answer
    x = 374,090.98

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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.