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Finding the Third Proportional to 159,661.50 and 221,995.50

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Solution

The third proportional to 159,661.50 and 221,995.50 is: 308,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,661.50 : 221,995.50 = 221,995.50 : x
  2. Step 2: Convert to fraction form
    159,661.50/221,995.50 = 221,995.50/x
  3. Step 3: Cross multiply
    159,661.50x = 221,995.50 × 221,995.50
  4. Step 4: Simplify right side
    159,661.50x = 49,282,002,020.25
  5. Step 5: Solve for x
    x = 49,282,002,020.25/159,661.50
  6. Step 6: Final answer
    x = 308,665.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.