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Finding the Third Proportional to 196,109.50 and 276,159

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Solution

The third proportional to 196,109.50 and 276,159 is: 388,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,109.50 : 276,159 = 276,159 : x
  2. Step 2: Convert to fraction form
    196,109.50/276,159 = 276,159/x
  3. Step 3: Cross multiply
    196,109.50x = 276,159 × 276,159
  4. Step 4: Simplify right side
    196,109.50x = 76,263,793,281
  5. Step 5: Solve for x
    x = 76,263,793,281/196,109.50
  6. Step 6: Final answer
    x = 388,883.73

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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.