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Finding the Third Proportional to 140,442.50 and 198,722

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Solution

The third proportional to 140,442.50 and 198,722 is: 281,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442.50 : 198,722 = 198,722 : x
  2. Step 2: Convert to fraction form
    140,442.50/198,722 = 198,722/x
  3. Step 3: Cross multiply
    140,442.50x = 198,722 × 198,722
  4. Step 4: Simplify right side
    140,442.50x = 39,490,433,284
  5. Step 5: Solve for x
    x = 39,490,433,284/140,442.50
  6. Step 6: Final answer
    x = 281,185.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.