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Finding the Third Proportional to 79,744 and 172,610

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Solution

The third proportional to 79,744 and 172,610 is: 373,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,744 : 172,610 = 172,610 : x
  2. Step 2: Convert to fraction form
    79,744/172,610 = 172,610/x
  3. Step 3: Cross multiply
    79,744x = 172,610 × 172,610
  4. Step 4: Simplify right side
    79,744x = 29,794,212,100
  5. Step 5: Solve for x
    x = 29,794,212,100/79,744
  6. Step 6: Final answer
    x = 373,623.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.