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Finding the Third Proportional to 221,326 and 332,209

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Solution

The third proportional to 221,326 and 332,209 is: 498,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,326 : 332,209 = 332,209 : x
  2. Step 2: Convert to fraction form
    221,326/332,209 = 332,209/x
  3. Step 3: Cross multiply
    221,326x = 332,209 × 332,209
  4. Step 4: Simplify right side
    221,326x = 110,362,819,681
  5. Step 5: Solve for x
    x = 110,362,819,681/221,326
  6. Step 6: Final answer
    x = 498,643.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.