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Finding the Third Proportional to 198,235 and 319,189

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Solution

The third proportional to 198,235 and 319,189 is: 513,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,235 : 319,189 = 319,189 : x
  2. Step 2: Convert to fraction form
    198,235/319,189 = 319,189/x
  3. Step 3: Cross multiply
    198,235x = 319,189 × 319,189
  4. Step 4: Simplify right side
    198,235x = 101,881,617,721
  5. Step 5: Solve for x
    x = 101,881,617,721/198,235
  6. Step 6: Final answer
    x = 513,943.64

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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.