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Finding the Third Proportional to 173,276 and 275,686

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Solution

The third proportional to 173,276 and 275,686 is: 438,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,276 : 275,686 = 275,686 : x
  2. Step 2: Convert to fraction form
    173,276/275,686 = 275,686/x
  3. Step 3: Cross multiply
    173,276x = 275,686 × 275,686
  4. Step 4: Simplify right side
    173,276x = 76,002,770,596
  5. Step 5: Solve for x
    x = 76,002,770,596/173,276
  6. Step 6: Final answer
    x = 438,622.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.