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Finding the Third Proportional to 198,072 and 427,708

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Solution

The third proportional to 198,072 and 427,708 is: 923,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 427,708 = 427,708 : x
  2. Step 2: Convert to fraction form
    198,072/427,708 = 427,708/x
  3. Step 3: Cross multiply
    198,072x = 427,708 × 427,708
  4. Step 4: Simplify right side
    198,072x = 182,934,133,264
  5. Step 5: Solve for x
    x = 182,934,133,264/198,072
  6. Step 6: Final answer
    x = 923,573.92

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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.