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Finding the Third Proportional to 198,020 and 262,578

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Solution

The third proportional to 198,020 and 262,578 is: 348,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,020 : 262,578 = 262,578 : x
  2. Step 2: Convert to fraction form
    198,020/262,578 = 262,578/x
  3. Step 3: Cross multiply
    198,020x = 262,578 × 262,578
  4. Step 4: Simplify right side
    198,020x = 68,947,206,084
  5. Step 5: Solve for x
    x = 68,947,206,084/198,020
  6. Step 6: Final answer
    x = 348,183.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.