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Finding the Third Proportional to 163,338 and 221,672

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Solution

The third proportional to 163,338 and 221,672 is: 300,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,338 : 221,672 = 221,672 : x
  2. Step 2: Convert to fraction form
    163,338/221,672 = 221,672/x
  3. Step 3: Cross multiply
    163,338x = 221,672 × 221,672
  4. Step 4: Simplify right side
    163,338x = 49,138,475,584
  5. Step 5: Solve for x
    x = 49,138,475,584/163,338
  6. Step 6: Final answer
    x = 300,839.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.