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Finding the Third Proportional to 139,756 and 197,565

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Solution

The third proportional to 139,756 and 197,565 is: 279,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,756 : 197,565 = 197,565 : x
  2. Step 2: Convert to fraction form
    139,756/197,565 = 197,565/x
  3. Step 3: Cross multiply
    139,756x = 197,565 × 197,565
  4. Step 4: Simplify right side
    139,756x = 39,031,929,225
  5. Step 5: Solve for x
    x = 39,031,929,225/139,756
  6. Step 6: Final answer
    x = 279,286.25

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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.