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Finding the Third Proportional to 198,968 and 308,538

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Solution

The third proportional to 198,968 and 308,538 is: 478,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,968 : 308,538 = 308,538 : x
  2. Step 2: Convert to fraction form
    198,968/308,538 = 308,538/x
  3. Step 3: Cross multiply
    198,968x = 308,538 × 308,538
  4. Step 4: Simplify right side
    198,968x = 95,195,697,444
  5. Step 5: Solve for x
    x = 95,195,697,444/198,968
  6. Step 6: Final answer
    x = 478,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.