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Finding the Third Proportional to 198,267 and 319,169

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Solution

The third proportional to 198,267 and 319,169 is: 513,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,267 : 319,169 = 319,169 : x
  2. Step 2: Convert to fraction form
    198,267/319,169 = 319,169/x
  3. Step 3: Cross multiply
    198,267x = 319,169 × 319,169
  4. Step 4: Simplify right side
    198,267x = 101,868,850,561
  5. Step 5: Solve for x
    x = 101,868,850,561/198,267
  6. Step 6: Final answer
    x = 513,796.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.