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Finding the Third Proportional to 221,661.56 and 324,632.81

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Solution

The third proportional to 221,661.56 and 324,632.81 is: 475,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,661.56 : 324,632.81 = 324,632.81 : x
  2. Step 2: Convert to fraction form
    221,661.56/324,632.81 = 324,632.81/x
  3. Step 3: Cross multiply
    221,661.56x = 324,632.81 × 324,632.81
  4. Step 4: Simplify right side
    221,661.56x = 105,386,462,951.66
  5. Step 5: Solve for x
    x = 105,386,462,951.66/221,661.56
  6. Step 6: Final answer
    x = 475,438.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.