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Finding the Third Proportional to 172,072 and 258,180

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Solution

The third proportional to 172,072 and 258,180 is: 387,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,072 : 258,180 = 258,180 : x
  2. Step 2: Convert to fraction form
    172,072/258,180 = 258,180/x
  3. Step 3: Cross multiply
    172,072x = 258,180 × 258,180
  4. Step 4: Simplify right side
    172,072x = 66,656,912,400
  5. Step 5: Solve for x
    x = 66,656,912,400/172,072
  6. Step 6: Final answer
    x = 387,378.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.