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Finding the Third Proportional to 139,729 and 197,524

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Solution

The third proportional to 139,729 and 197,524 is: 279,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,729 : 197,524 = 197,524 : x
  2. Step 2: Convert to fraction form
    139,729/197,524 = 197,524/x
  3. Step 3: Cross multiply
    139,729x = 197,524 × 197,524
  4. Step 4: Simplify right side
    139,729x = 39,015,730,576
  5. Step 5: Solve for x
    x = 39,015,730,576/139,729
  6. Step 6: Final answer
    x = 279,224.29

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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.