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Finding the Third Proportional to 221,436 and 324,772

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Solution

The third proportional to 221,436 and 324,772 is: 476,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,436 : 324,772 = 324,772 : x
  2. Step 2: Convert to fraction form
    221,436/324,772 = 324,772/x
  3. Step 3: Cross multiply
    221,436x = 324,772 × 324,772
  4. Step 4: Simplify right side
    221,436x = 105,476,851,984
  5. Step 5: Solve for x
    x = 105,476,851,984/221,436
  6. Step 6: Final answer
    x = 476,331.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.