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Finding the Third Proportional to 73,450 and 158,561

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Solution

The third proportional to 73,450 and 158,561 is: 342,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,450 : 158,561 = 158,561 : x
  2. Step 2: Convert to fraction form
    73,450/158,561 = 158,561/x
  3. Step 3: Cross multiply
    73,450x = 158,561 × 158,561
  4. Step 4: Simplify right side
    73,450x = 25,141,590,721
  5. Step 5: Solve for x
    x = 25,141,590,721/73,450
  6. Step 6: Final answer
    x = 342,295.31

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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.