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Finding the Third Proportional to 221,109 and 333,513

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Solution

The third proportional to 221,109 and 333,513 is: 503,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,109 : 333,513 = 333,513 : x
  2. Step 2: Convert to fraction form
    221,109/333,513 = 333,513/x
  3. Step 3: Cross multiply
    221,109x = 333,513 × 333,513
  4. Step 4: Simplify right side
    221,109x = 111,230,921,169
  5. Step 5: Solve for x
    x = 111,230,921,169/221,109
  6. Step 6: Final answer
    x = 503,059.22

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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.