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Finding the Third Proportional to 139,734 and 197,531

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Solution

The third proportional to 139,734 and 197,531 is: 279,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,734 : 197,531 = 197,531 : x
  2. Step 2: Convert to fraction form
    139,734/197,531 = 197,531/x
  3. Step 3: Cross multiply
    139,734x = 197,531 × 197,531
  4. Step 4: Simplify right side
    139,734x = 39,018,495,961
  5. Step 5: Solve for x
    x = 39,018,495,961/139,734
  6. Step 6: Final answer
    x = 279,234.09

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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.