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Finding the Third Proportional to 198,054 and 427,672

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Solution

The third proportional to 198,054 and 427,672 is: 923,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,054 : 427,672 = 427,672 : x
  2. Step 2: Convert to fraction form
    198,054/427,672 = 427,672/x
  3. Step 3: Cross multiply
    198,054x = 427,672 × 427,672
  4. Step 4: Simplify right side
    198,054x = 182,903,339,584
  5. Step 5: Solve for x
    x = 182,903,339,584/198,054
  6. Step 6: Final answer
    x = 923,502.38

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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.