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Finding the Third Proportional to 221,680.50 and 324,658.50

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Solution

The third proportional to 221,680.50 and 324,658.50 is: 475,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.50 : 324,658.50 = 324,658.50 : x
  2. Step 2: Convert to fraction form
    221,680.50/324,658.50 = 324,658.50/x
  3. Step 3: Cross multiply
    221,680.50x = 324,658.50 × 324,658.50
  4. Step 4: Simplify right side
    221,680.50x = 105,403,141,622.25
  5. Step 5: Solve for x
    x = 105,403,141,622.25/221,680.50
  6. Step 6: Final answer
    x = 475,473.22

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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.