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Finding the Third Proportional to 198,297 and 319,221

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Solution

The third proportional to 198,297 and 319,221 is: 513,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,297 : 319,221 = 319,221 : x
  2. Step 2: Convert to fraction form
    198,297/319,221 = 319,221/x
  3. Step 3: Cross multiply
    198,297x = 319,221 × 319,221
  4. Step 4: Simplify right side
    198,297x = 101,902,046,841
  5. Step 5: Solve for x
    x = 101,902,046,841/198,297
  6. Step 6: Final answer
    x = 513,885.97

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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.