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Finding the Third Proportional to 198,954 and 308,520

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Solution

The third proportional to 198,954 and 308,520 is: 478,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,954 : 308,520 = 308,520 : x
  2. Step 2: Convert to fraction form
    198,954/308,520 = 308,520/x
  3. Step 3: Cross multiply
    198,954x = 308,520 × 308,520
  4. Step 4: Simplify right side
    198,954x = 95,184,590,400
  5. Step 5: Solve for x
    x = 95,184,590,400/198,954
  6. Step 6: Final answer
    x = 478,425.12

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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.