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Finding the Third Proportional to 198,038 and 427,641

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Solution

The third proportional to 198,038 and 427,641 is: 923,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,038 : 427,641 = 427,641 : x
  2. Step 2: Convert to fraction form
    198,038/427,641 = 427,641/x
  3. Step 3: Cross multiply
    198,038x = 427,641 × 427,641
  4. Step 4: Simplify right side
    198,038x = 182,876,824,881
  5. Step 5: Solve for x
    x = 182,876,824,881/198,038
  6. Step 6: Final answer
    x = 923,443.10

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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.