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Finding the Third Proportional to 198,072 and 427,706

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Solution

The third proportional to 198,072 and 427,706 is: 923,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 427,706 = 427,706 : x
  2. Step 2: Convert to fraction form
    198,072/427,706 = 427,706/x
  3. Step 3: Cross multiply
    198,072x = 427,706 × 427,706
  4. Step 4: Simplify right side
    198,072x = 182,932,422,436
  5. Step 5: Solve for x
    x = 182,932,422,436/198,072
  6. Step 6: Final answer
    x = 923,565.28

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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.