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Finding the Third Proportional to 198,309 and 319,239

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Solution

The third proportional to 198,309 and 319,239 is: 513,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309 : 319,239 = 319,239 : x
  2. Step 2: Convert to fraction form
    198,309/319,239 = 319,239/x
  3. Step 3: Cross multiply
    198,309x = 319,239 × 319,239
  4. Step 4: Simplify right side
    198,309x = 101,913,539,121
  5. Step 5: Solve for x
    x = 101,913,539,121/198,309
  6. Step 6: Final answer
    x = 513,912.83

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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.