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Finding the Third Proportional to 139,570 and 197,734

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Solution

The third proportional to 139,570 and 197,734 is: 280,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,570 : 197,734 = 197,734 : x
  2. Step 2: Convert to fraction form
    139,570/197,734 = 197,734/x
  3. Step 3: Cross multiply
    139,570x = 197,734 × 197,734
  4. Step 4: Simplify right side
    139,570x = 39,098,734,756
  5. Step 5: Solve for x
    x = 39,098,734,756/139,570
  6. Step 6: Final answer
    x = 280,137.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.