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Finding the Third Proportional to 221,213 and 333,635

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Solution

The third proportional to 221,213 and 333,635 is: 503,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,213 : 333,635 = 333,635 : x
  2. Step 2: Convert to fraction form
    221,213/333,635 = 333,635/x
  3. Step 3: Cross multiply
    221,213x = 333,635 × 333,635
  4. Step 4: Simplify right side
    221,213x = 111,312,313,225
  5. Step 5: Solve for x
    x = 111,312,313,225/221,213
  6. Step 6: Final answer
    x = 503,190.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.