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Finding the Third Proportional to 139,168 and 198,948

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Solution

The third proportional to 139,168 and 198,948 is: 284,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,168 : 198,948 = 198,948 : x
  2. Step 2: Convert to fraction form
    139,168/198,948 = 198,948/x
  3. Step 3: Cross multiply
    139,168x = 198,948 × 198,948
  4. Step 4: Simplify right side
    139,168x = 39,580,306,704
  5. Step 5: Solve for x
    x = 39,580,306,704/139,168
  6. Step 6: Final answer
    x = 284,406.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.