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Finding the Third Proportional to 198,208 and 427,520

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Solution

The third proportional to 198,208 and 427,520 is: 922,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,208 : 427,520 = 427,520 : x
  2. Step 2: Convert to fraction form
    198,208/427,520 = 427,520/x
  3. Step 3: Cross multiply
    198,208x = 427,520 × 427,520
  4. Step 4: Simplify right side
    198,208x = 182,773,350,400
  5. Step 5: Solve for x
    x = 182,773,350,400/198,208
  6. Step 6: Final answer
    x = 922,129.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.